Tootfinder

Quantum Gravity Corrections to the Scalar Quasi-Normal Modes in Near-Extremal Reissener-Nordstr\"{o}m Black Holes
Zheng Jiang, Jun Nian, Caiying Shao, Yu Tian, Hongbao Zhang
https://arxiv.org/abs/2506.22945

Quantum Gravity Corrections to the Scalar Quasi-Normal Modes in Near-Extremal Reissener-Nordström Black Holes
We investigate quantum corrections to scalar quasi-normal modes (QNMs) in the near-extremal Reissner-Nordström black hole background with quantum correction in the near-horizon AdS$_2\times \mathrm{S}^2$ region. By performing a dimensional reduction, we obtain an effective Jackiw-Teitelboim (JT) gravity theory, whose quantum fluctuations are captured by the Schwarzian action. Using path integral techniques, we derive the quantum-corrected scalar field equation, which modifies the effective pot…

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities
Milan Jovanovic, Jinmin Wang
https://arxiv.org/abs/2506.24059 …

A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities
We use the Dirac operator method to prove a scalar-mean curvature comparison theorem for spin manifolds which carry iterated conical singularities. Our approach is to study the index theory of a twisted Dirac operator on such singular manifolds. A dichotomy argument is used to prove the comparison theorem without knowing precisely the index of the twisted Dirac operator. This framework also enables us to prove a rigidity theorem of Euclidean domains and a spin positive mass theorem for asymptot…

Search for the nonresonant and resonant production of a Higgs boson in association with an additional scalar boson in the $\gamma\gamma\tau\tau$ final state in proton-proton collisions at $\sqrt{s}$ = 13 TeV
CMS Collaboration
https://arxiv.org/abs/2506.23012

Search for the nonresonant and resonant production of a Higgs boson in association with an additional scalar boson in the $γγττ$ final state in proton-proton collisions at $\sqrt{s}$ = 13 TeV
The results of a search for the production of two scalar bosons in final states with two photons and two tau leptons are presented. The search considers both nonresonant production of a Higgs boson pair, HH, and resonant production via a new boson X which decays either to HH or to H and a new scalar Y. The analysis uses up to 138 fb$^{-1}$ of proton-proton collision data, recorded between 2016 and 2018 by the CMS experiment at the LHC at a center-of-mass energy of 13 TeV. No evidence for signal…

This https://arxiv.org/abs/2301.10980 has been replaced.
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Beyond scalar quasi-arithmetic means: Quasi-arithmetic averages and quasi-arithmetic mixtures in information geometry
We generalize quasi-arithmetic means beyond scalars by considering the gradient map of a Legendre type real-valued function. The gradient map of a Legendre type function is proven strictly comonotone with a global inverse. It thus yields a generalization of strictly mononotone and differentiable functions generating scalar quasi-arithmetic means. Furthermore, the Legendre transformation gives rise to pairs of dual quasi-arithmetic averages via the convex duality. We study the invariance and equ…

This https://arxiv.org/abs/2502.20923 has been replaced.
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Spinning boson stars in nonlinear sigma models and Universal Relations
Boson stars are hypothetical compact objects derived from solutions of a self-gravitating complex scalar field. In this study, we extend the traditional models by generalizing the kinetic term of the scalar field to that of a nonlinear sigma model. Concretely, we obtain spinning boson star solutions for a family of models parametrized by the curvature of their two-dimensional target manifold, as well as for various self-interaction potentials. We derive the global properties and multipolar stru…

Analyzing Time-Varying Scalar Fields using Piecewise-Linear Morse-Cerf Theory
Amritendu Dhar, Apratim Chakraborty, Vijay Natarajan
https://arxiv.org/abs/2507.00725

Analyzing Time-Varying Scalar Fields using Piecewise-Linear Morse-Cerf Theory
Morse-Cerf theory considers a one-parameter family of smooth functions defined on a manifold and studies the evolution of their critical points with the parameter. This paper presents an adaptation of Morse-Cerf theory to a family of piecewise-linear (PL) functions. The vertex diagram and Cerf diagram are introduced as representations of the evolution of critical points of the PL function. The characterization of a crossing in the vertex diagram based on the homology of the lower links of verti…

Implications of Yukawa interactions in scalar sector
Muhammad Saad, Tajdar Mufti
https://arxiv.org/abs/2506.23390 https://arxiv.org/p…

Implications of Yukawa interactions in scalar sector
In this work, a field theory model containing a real scalar singlet and an SU(2) symmetry preserving complex doublet is studied using the method of lattice simulations. The model considers all quartic vertices along with the Yukawa vertex between a real scalar singlet and an SU(2) symmetry preserving complex doublet field. Machine learning is used to extract representative functions of the field propagators, lattice regulator, and the Yukawa vertex. In the considered renormalization scheme the …

Conformal scalar field theory from Ising tricriticality on the fuzzy sphere
Joseph Taylor, Cristian Voinea, Zlatko Papi\'c, Ruihua Fan
https://arxiv.org/abs/2506.22539

Conformal scalar field theory from Ising tricriticality on the fuzzy sphere
Free theories are landmarks in the landscape of quantum field theories: their exact solvability serves as a pillar for perturbative constructions of interacting theories. Fuzzy sphere regularization, which combines quantum Hall physics with state-operator correspondence, has recently been proposed as a promising framework for simulating three-dimensional conformal field theories (CFTs), but so far it has not provided access to free theories. We overcome this limitation by designing a bilayer qu…

On the distribution of shapes of pure quartic number fields
Sudipa Das, Sushant Kala, Arunabha Mukhopadhyay, Anwesh Ray
https://arxiv.org/abs/2506.23766 ht…

On the distribution of shapes of pure quartic number fields
The shape of a number field is a subtle arithmetic invariant arising from the geometry of numbers. It is defined as the equivalence class of the lattice of integers with respect to linear operations that are composites of rotations, reflections, and positive scalar dilations. For a number field of degree $n$, the shape is a point in the space of shapes $\mathscr{S}_{n-1}$, which is the double quotient $GL_{n-1}(\mathbb{Z}) \backslash GL_{n-1}(\mathbb{R}) / GO_{n-1}(\mathbb{R})$. In this paper, …

This https://arxiv.org/abs/2501.02772 has been replaced.
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GeAR: Generation Augmented Retrieval
Document retrieval techniques are essential for developing large-scale information systems. The common approach involves using a bi-encoder to compute the semantic similarity between a query and documents. However, the scalar similarity often fail to reflect enough information, hindering the interpretation of retrieval results. In addition, this process primarily focuses on global semantics, overlooking the finer-grained semantic relationships between the query and the document's content. In th…

3HDM at the ILC
Baradhwaj Coleppa, Akshat Khanna, Gokul B. Krishna
https://arxiv.org/abs/2506.24094 https://arxiv.org/pdf/2506.24094

3HDM at the ILC
The Three-Higgs-Doublet Model (3HDM) extends the Standard Model by introducing two additional scalar doublets, leading to a rich spectrum of new particles: three neutral CP-even Higgs bosons ($h_1$, $H_2$, $H_3$), two neutral CP-odd Higgs bosons ($A_2$, $A_3$), and two charged Higgs bosons ($H_2^+$, $H_3^+$). In this work, we present a phenomenological study of the 3HDM at the future International Linear Collider (ILC) with a center-of-mass energy of $\sqrt{s} = 1000\,\text{GeV}$. Applying a co…

The effect of droplet configurations within the Functional Renormalization Group of low-dimensional Ising models
Ivan Balog, Lucija Nora Farka\v{s}, Maroje Marohni\'c, Gilles Tarjus
https://arxiv.org/abs/2506.23415

The effect of droplet configurations within the Functional Renormalization Group of low-dimensional Ising models
We explore the application of the nonperturbative functional renormalization group (NPFRG) within its most common approximation scheme based on truncations of the derivative expansion to the $Z_2$-symmetric scalar $φ^4$ theory as the lower critical dimension $d_{\rm lc}$ is approached. We aim to assess whether the NPFRG - a broad, nonspecialized method which is accurate in $d\geq 2$ - can capture the effect of the localized (droplet) excitations that drive the disappearance of the phase transi…

Constraining self-interacting ultrahigh-energy neutrinos by cosmic microwave background spectral distortion
Pravin Kumar Natwariya, Shibsankar Si, Alekha C. Nayak, Tripurari Srivastava
https://arxiv.org/abs/2506.24110

Constraining self-interacting ultrahigh-energy neutrinos by cosmic microwave background spectral distortion
The neutrino telescopes have firmly established the existence of ultra-high-energy (UHE) neutrinos. Observations of these neutrinos offer a unique probe of neutrino self-interactions. This work investigates how the self-interacting neutrinos, mediated by scalar bosons, inject energy into the medium through radiative scattering with the cosmic neutrino background, leaving an imprint on the Cosmic Microwave Background (CMB) spectrum. The energy injection into plasma in redshift ranges, $5\times10…

The Grothendieck duality and sparse minimizing in spaces of Sobolev solutions to elliptic systems
Alexander Shlapunov, Alexander Polkovnikov, Kseniya Gagelgans
https://arxiv.org/abs/2506.23087

The Grothendieck duality and sparse minimizing in spaces of Sobolev solutions to elliptic systems
We present an instructive example of using Banach spaces of solutions to (linear, generally, non-scalar) elliptic operator $A$ to investigate variational inverse problems related to neural networks and/or to regularization of solutions to boundary value problems. More precisely, inspired by kernel's method for optimization problems in locally convex spaces, we prove the existence of the so-called sparse minimizers for the related variational problem and produce a representer theorem where a sui…

Exact coherent structures with dilute particle suspensions
Jake Langham, Andrew J. Hogg
https://arxiv.org/abs/2506.22622 https://arxi…

Exact coherent structures with dilute particle suspensions
The physics of settling suspensions under shear are investigated by theoretical and numerical analyses of unstable equilibrium solutions to the incompressible Navier-Stokes equations, coupled with an advection-diffusion-settling equation for a dilute phase of particles. Two cases are considered: the 'passive scalar' regime, in which the sediment is advected by the fluid motion, but concentrations are too dilute to affect the flow; and the 'stratified' regime, where nonuniform vertical distribut…

Cosmology with Distinct Functions $f$ of the Non-metricity Scalar $Q$ : A Dynamical System Approach
Promila Biswas, Subhajit Pal, Ritabrata Biswas, Satyajit Pal
https://arxiv.org/abs/2506.21646

Cosmology with Distinct Functions $f$ of the Non-metricity Scalar $Q$ : A Dynamical System Approach
Symmetric teleparallel gravity is one among the general relativistic trinity which deals with the non-metricity scalar $Q$. In the Einstein Hilbert action, a function of $Q$ is chosen to be the main contributory part of the Lagrangian and a modified theory of gravity is constructed. In literature, different structures of the function of $Q$ are found which sustain several astrophysical observations like Big Bang nucleosynthesis, late-time cosmic acceleration etc. Autonomous systems for each suc…

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels
Palle E. T. Jorgensen, James Tian
https://arxiv.org/abs/2505.21037

Factorization of positive definite kernels. Correspondences: $C^{*}$-algebraic and operator valued context vs scalar valued kernels
We introduce and study a class $\mathcal{M}$ of generalized positive definite kernels of the form $K\colon X\times X\to L(\mathfrak{A},L(H))$, where $\mathfrak{A}$ is a unital $C^{*}$-algebra and $H$ a Hilbert space. These kernels encode operator-valued correlations governed by the algebraic structure of $\mathfrak{A}$, and generalize classical scalar-valued positive definite kernels, completely positive (CP) maps, and states on $C^{*}$-algebras. Our approach is based on a scalar-valued kernel …

Unbounded knapsack problem and double partitions
Boris Y. Rubinstein
https://arxiv.org/abs/2506.23499 https://arxiv.org/pdf/2506.2349…

Unbounded knapsack problem and double partitions
The unbounded knapsack problem can be considered as a particular case of the double partition problem that asks for a number of nonnegative integer solutions to a system of two linear Diophantine equations with integer coefficients. In the middle of 19th century Sylvester and Cayley suggested an approach based on the variable elimination allowing a reduction of a double partition to a sum of scalar partitions. This manuscript discusses a geometric interpretation of this method and its applicati…

Twisted and coupled constant scalar curvature K\"{a}hler metrics on minimal ruled surfaces
Ramesh Mete
https://arxiv.org/abs/2505.23327 https://

Twisted and coupled constant scalar curvature Kähler metrics on minimal ruled surfaces
In this paper, we study the existence of twisted constant scalar curvature Kähler (cscK) metrics and non-existence of coupled cscK metrics on minimal ruled surfaces over a Riemann surface of genus $2$. Moreover, we give a bound for the Chen-Cheng invariant related to Chen's continuity path for cscK problem on these ruled surfaces.

Selection of functional predictors and smooth coefficient estimation for scalar-on-function regression models
Hedayat Fathi, Marzia A. Cremona, Federico Severino
https://arxiv.org/abs/2506.17773

Selection of functional predictors and smooth coefficient estimation for scalar-on-function regression models
In the framework of scalar-on-function regression models, in which several functional variables are employed to predict a scalar response, we propose a methodology for selecting relevant functional predictors while simultaneously providing accurate smooth (or, more generally, regular) estimates of the functional coefficients. We suppose that the functional predictors belong to a real separable Hilbert space, while the functional coefficients belong to a specific subspace of this Hilbert space. …

Approximation of Dirac operators with confining electrostatic and Lorentz scalar $\delta$-shell potentials
Christian Stelzer-Landauer
https://arxiv.org/abs/2505.22191

Approximation of Dirac operators with confining electrostatic and Lorentz scalar $δ$-shell potentials
In this paper we study the approximation of Dirac operators with $δ$-shell potentials in the norm resolvent sense. In particular, we consider the approximation of Dirac operators with confining electrostatic and Lorentz scalar $δ$-shell potentials, where the support of the $δ$-shell potentials is impermeable to particles modelled by such Dirac operators.

This https://arxiv.org/abs/2505.20262 has been replaced.
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On world-sheet S-matrix of NSR string in static gauge
As was shown in arXiv:1203.1054, expanding the Nambu action near the "long string" vacuum in the static gauge one finds that the one-loop 2 to 2 scattering amplitude of the $D-2=24$ transverse 2d fluctuations $X^i$ is given by a pure phase expression consistent with underlying integrability. Similar computation in the Green-Schwarz superstring was carried out in arXiv:2404.09658. Here we consider the case of the NSR string starting with its manifestly 2d covariant action given by $D$ scalar mul…

Entanglement, Trace Anomaly and Confinement in QCD
Kiminad A. Mamo
https://arxiv.org/abs/2507.00176 https://arxiv.org/pdf/2507.00176

Entanglement, Trace Anomaly and Confinement in QCD
We formulate confinement in QCD as an entropic surface phenomenon. Quark and gluon quantum information is localized on a two-dimensional transverse sheet of radius $R_{\mathrm{EE}}$ where the von Neumann entropy of the vacuum attains its maximum. Lattice QCD determinations of scalar (trace) gravitational form factors fix both $R_{\mathrm{EE}}$ and the transverse trace-anomaly density $ρ_h(R_{\mathrm{EE}})$ with percent-level accuracy, enabling a parameter-free mechanical entropy $S_{\mathrm{EE…

Scale-resolved turbulent Prandtl number for Rayleigh-B\'{e}nard convection at $\boldsymbol{Pr =10^{-3}}$
Shashwat Bhattacharya, Dmitry Krasnov, Ambrish Pandey, Toshiyuki Gotoh, J\"org Schumacher
https://arxiv.org/abs/2506.22110

Scale-resolved turbulent Prandtl number for Rayleigh-Bénard convection at $\boldsymbol{Pr =10^{-3}}$
We present a framework to calculate the scale-resolved turbulent Prandtl number $Pr_t$ for the well-mixed and highly inertial bulk of a turbulent Rayleigh-Bénard mesoscale convection layer at a molecular Prandtl number $Pr=10^{-3}$. It builds on Kolmogorov's refined similarity hypothesis of homogeneous isotropic fluid and passive scalar turbulence, based on log-normally distributed amplitudes of kinetic energy and scalar dissipation rates that are coarse-grained over variable scales $r$ in the…

Spectral Geometry with Exceptional Symmetry and Charged Higgs Fields
Shane Farnsworth
https://arxiv.org/abs/2506.21496 https://arxiv.…

Spectral Geometry with Exceptional Symmetry and Charged Higgs Fields
We lay the foundations for a general approach to nonassociative spectral geometry as an extension of Connes' noncommutative geometry by explaining how to construct finite-dimensional, discrete spectral geometries with exceptional symmetry, and gauge covariant Dirac operators. We showcase an explicit construction of a geometry corresponding to the internal space of a $G_2\times G_2$ gauge theory with charged scalar content and scalar representations restricted by novel conditions arising from th…

Uncertain Mode Surfaces in 3D Symmetric Second-Order Tensor Field Ensembles
Tim Gerrits
https://arxiv.org/abs/2506.23406 https://arxi…

Uncertain Mode Surfaces in 3D Symmetric Second-Order Tensor Field Ensembles
The analysis of 3D symmetric second-order tensor fields often relies on topological features such as degenerate tensor lines, neutral surfaces, and their generalization to mode surfaces, which reveal important structural insights into the data. However, uncertainty in such fields is typically visualized using derived scalar attributes or tensor glyph representations, which often fail to capture the global behavior. Recent advances have introduced uncertain topological features for tensor field …

This https://arxiv.org/abs/2310.03697 has been replaced.
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Onset of dark energy from cosmological scalarization and gravitational wave speed
This study investigates the emergence of dark energy during the matter-dominated era through spontaneous cosmological scalarization in the scalar-Ricci-Gauss-Bonnet model.Our model aligns with the conjecture that the speed of gravitational waves at low redshifts is nearly equal to the speed of light, implying that the Gauss-Bonnet invariant does not directly contribute to late-time acceleration and suggesting that scalarization begins in the radiation-dominated era. The Gauss-Bonnet coupl…

Constraining Inflation via FIMP dark matter using the $\beta$-function with collider implications
Sarif Khan, Sourov Roy, Ananya Tapadar
https://arxiv.org/abs/2506.23770

Constraining Inflation via FIMP dark matter using the $β$-function with collider implications
The present study connects inflation and freeze-in type dark matter (DM) within the same setup. Although the observables in these two phenomena lie at vastly different energy scales, they have been properly handled using the RG running of couplings. For studying DM and inflation, the SM has been minimally extended by introducing an abelian dark gauge symmetry and a dark singlet scalar. In studying inflation, the SM Higgs doublet has been considered as the inflaton, which has a non-minimal coupl…

Geometric Convergence to an Extreme Limit Space with nonnegative scalar curvature
Christina Sormani, Wenchuan Tian, Wai-Ho Yeung
https://arxiv.org/abs/2506.12491

Geometric Convergence to an Extreme Limit Space with nonnegative scalar curvature
In 2014, Gromov conjectured that sequences of manifolds with nonnegative scalar curvature should have subsequences which converge in some geometric sense to limit spaces with some notion of generalized nonnegative scalar curvature. In recent joint work with Changliang Wang, the authors found a sequence of warped product Riemannian metrics on $\Sph^2\times \Sph^1$ with nonnegative scalar curvature whose metric tensors converge in the $W^{1,p}$ sense for $p<2$ to an extreme warped product limit s…

This https://arxiv.org/abs/2501.16472 has been replaced.
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Revisiting color superconductors in bottom-up holography
We revisit the problem of constructing a color superconducting phase in bottom-up holography. We introduce a model that describes the five-dimensional dynamics of a scalar field dual to a chiral symmetry breaking condensate, which is coupled to the RR 4-form. The coupling is given by a topological WZ term, which is elegantly responsible both for scalar condensation at high density, and color Higgsing in the condensed phase. This construction realizes both properties at finite density and Higgsi…

Requirements on bandpass resolution and measurement precision for LiteBIRD
S. Giardiello, A. Carones, T. Ghigna, L. Pagano, F. Piacentini, L. Montier, R. Takaku, E. Calabrese, D. Adak, E. Allys, A. Anand, J. Aumont, M. Ballardini, A. J. Banday, R. B. Barreiro, N. Bartolo, S. Basak, M. Bersanelli, A. Besnard, M. Bortolami, T. Brinckmann, F. J. Casas, K. Cheung, M. Citran, L. Clermont, F. Columbro, A. Coppolecchia, F. Cuttaia, P. de Bernardis, E. de la Hoz, M. De Lucia, S. Della Torre, E…

Requirements on bandpass resolution and measurement precision for LiteBIRD
In this work, we study the impact of an imperfect knowledge of the instrument bandpasses on the estimate of the tensor-to-scalar ratio $r$ in the context of the next-generation LiteBIRD satellite. We develop a pipeline to include bandpass integration in both the time-ordered data (TOD) and the map-making processing steps. We introduce the systematic effect by having a mismatch between the ``real'', high resolution bandpass $τ$, entering the TOD, and the estimated one $τ_s$, used in the map-ma…

This https://arxiv.org/abs/2503.10716 has been replaced.
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Warm Inflation in $f(Q)$ gravity
This paper investigates warm inflation within the context of $f(Q)$ gravity for the Friedmann-Robertson-Walker spacetime. We formulate the governing field equations using slow-roll approximations and examine a power-law model to evaluate critical inflationary parameters including slow-roll parameters, scalar and tensor power spectra, and their associated spectral indices. The distinguishing feature of warm inflation lies in its fundamental premise that both radiation and inflaton coexist and in…

Constraint on ultralight Nelson-Barr dark matter from time-dependent nuclear decay
Chang-Jie Dai, Tong Li
https://arxiv.org/abs/2506.22081 https://

Constraint on ultralight Nelson-Barr dark matter from time-dependent nuclear decay
Many experiments have notably reported anomalies in radioactive decay rates with periodic variations and challenged the traditional belief of time-independent decays. This periodicity could potentially be explained by the presence of a periodic dark matter (DM) candidate. In this work, we investigate the impact of time-dependent nuclear decay rates on the ultralight scalar DM in Nelson-Barr solution to the strong CP problem. The light scalar DM field in this framework induces periodic modulatio…

Relaxation enhancement by controlling incompressible fluid flows
Kai Koike, Vahagn Nersesyan, Manuel Rissel, Marius Tucsnak
https://arxiv.org/abs/2506.22233

Relaxation enhancement by controlling incompressible fluid flows
We propose a PDE-controllability based approach to the enhancement of diffusive mixing for passive scalar fields. Unlike in the existing literature, our relaxation enhancing fields are not prescribed $\textit{ab initio}$ at every time and at every point of the spatial domain. Instead, we prove that time-dependent relaxation enhancing vector fields can be obtained as $\textit{state trajectories of control systems described by the incompressible Euler equations}$ either driven by finite-dimension…

Attitude Estimation Using Scalar Measurements
Hassan Alnahhal, Sifeddine Benahmed, Soulaimane Berkane, Tarel Hamel
https://arxiv.org/abs/2506.07068 https:/…

Attitude Estimation Using Scalar Measurements
This paper revisits the problem of orientation estimation for rigid bodies through a novel framework based on scalar measurements. Unlike traditional vector-based methods, the proposed approach enables selective utilization of only the reliable axes of vector measurements while seamlessly incorporating alternative scalar modalities such as Pitot tubes, barometers with range sensors, and landmark-based constraints. The estimation problem is reformulated within a linear time-varying (LTV) framewo…

Significance of soft-scale breaking on primordial black hole production in Coleman-Weinberg type supercooling-phase transition
He-Xu Zhang, Katsuya Hashino, Hiroyuki Ishida, Shinya Matsuzaki
https://arxiv.org/abs/2506.23752

Significance of soft-scale breaking on primordial black hole production in Coleman-Weinberg type supercooling-phase transition
Ultra-supercooling phase transitions can generate large overdensities in the Universe, potentially leading to the formation of primordial black holes (PBHs), which can also be a dark matter candidate. In this work, we focus on the supercooling phase transition for the scale symmetry breaking based on the effective potential of the Coleman-Weinberg (CW) type. We investigate the effect on the PBH production in the presence of an additional mass term for the CW scalar field, what we call a soft-sc…

Black hole surrounded by perfect fluid dark matter with a background Kalb-Ramond field
Sohan Kumar Jha
https://arxiv.org/abs/2506.21911 https://

Black hole surrounded by perfect fluid dark matter with a background Kalb-Ramond field
With an intent to explore the interplay between the Lorentz symmetry breaking (LSB) and the presence of dark matter (DM), we obtain a static and spherically symmetric black hole (BH) solution in the background of nonminimally coupled Kalb-Ramond (KR) field surrounded by perfect fluid dark matter (PFDM). The KR field is frozen to a non-zero vacuum expectation value (VEV) that breaks the particle Lorentz symmetry spontaneously. We explore scalar invariants, Ricci Scalar, Ricci squared, and Kretsc…

Quaternionic-K\"ahler manifolds with nonnegative sectional curvature
S. Brendle, U. Semmelmann
https://arxiv.org/abs/2506.22181 https://

Quaternionic-Kähler manifolds with nonnegative sectional curvature
We show that a compact quaternionic-Kähler manifold with positive scalar curvature and nonnegative sectional curvature is isometric to a symmetric space. This extends a classical theorem of Berger.

Lorentz invariant materials and metamaterials
Jon Lasa-Alonso, Gabriel Molina-Terriza
https://arxiv.org/abs/2506.20784 https://arxiv.…

Lorentz invariant materials and metamaterials
We show that electromagnetic constitutive relations of materials, defined by a scalar permittivity, $\varepsilon$, and permeability, $μ$, are the same for all inertial observers provided that $\varepsilonμ= 1$ is satisfied. To highlight the practical power of our general result, we discuss schemes in which this property plays a significant role, such as Fresnel-Fizeau optical drag or modified Snell's law for moving dielectrics. We also proof that such a particular behavior can be extended to …

Can boundary configuration be tuned to optimize directional quantum steering harvesting?
Xiao-Li Huang, Xiao-Ying Jiang, Yu-Xuan Wang, Si-Yu Liu, Zejun Wang, Shu-Min Wu
https://arxiv.org/abs/2506.18734

Can boundary configuration be tuned to optimize directional quantum steering harvesting?
We investigate the harvesting of quantum steering and its asymmetry between two static detectors locally interacting with a vacuum massless scalar field near an infinite, perfectly reflecting boundary. The detectors are arranged either parallel or orthogonal to the boundary, with detector $B$ assumed to have an energy gap greater than or equal to that of detector $A$. It is interesting to observe that, with increasing distance between the detectors and the boundary, the boundary tends to suppre…

Chiral Invariant Mass Constraints from HESS J1731 347 in an Extended Parity Doublet Model with Isovector Scalar Meson
Yuk-Kei Kong, Bikai Gao, Masayasu Harada
https://arxiv.org/abs/2506.16684

Chiral Invariant Mass Constraints from HESS J1731 347 in an Extended Parity Doublet Model with Isovector Scalar Meson
The recent discovery of a central compact object (CCO) within the supernova remnant HESS J1731-347, with mass $0.77^{+0.20}_{-0.17} \ M_\odot $ and radius $10.4^{+0.86}_{-0.78}$ km is the lightest and smallest compact object ever observed. We identify it as an ultra-light Neutron star (NS) and constrain the chiral invariant mass of nucleon $m_0$ from the observational data of NS using an extended parity doublet model with including the isovector scalar meson $a_0(980)$. We study the higher orde…

Thermodynamic Curvature and Topological Insights of Hayward Black Holes with String Fluids
Ankit Anand, Saeed Noori Gashti, Aditya Singh
https://arxiv.org/abs/2506.23736

Thermodynamic Curvature and Topological Insights of Hayward Black Holes with String Fluids
In this paper, we study the influence of string fluids on the extended thermodynamic structure and microscopic interactions of Hayward black holes by employing thermodynamic geometry as an empirical tool. Using the novel equation of state obtained for regular black holes surrounded by string fluids, we analyze the extended phase space with enthalpy as the central thermodynamic potential. By examining the behavior of the normalized Ruppeiner curvature scalar $R_N$ in the temperature-volume $(T,V…

Emergent quantum field theories on curved spacetimes in spinor Bose-Einstein condensates: from scalar to Proca fields
Simon Brunner, Christian F. Schmidt, Stefan Floerchinger
https://arxiv.org/abs/2506.13297

Emergent quantum field theories on curved spacetimes in spinor Bose-Einstein condensates: from scalar to Proca fields
We consider excitations of a spin-1 Bose-Einstein-condensate (BEC) in the vicinity of different mean-field configurations and derive mappings to emergent relativistic scalar field theories minimally coupled to curved acoustic spacetimes. The quantum fields are typically identified with Nambu-Goldstone bosons, such that the structure of the analogue quantum field theories on curved spacetimes depends on the (spontaneous) symmetry breaking pattern of the respective ground-state. The emergent spac…

Testing a 95 GeV Scalar at the CEPC with Machine Learning
Yabo Dong, Manqi Ruan, Kun Wang, Haijun Yang, Jingya Zhu
https://arxiv.org/abs/2506.21454 https:/…

Testing a 95 GeV Scalar at the CEPC with Machine Learning
Several possible excesses around $95\,$GeV hint at an additional light scalar beyond the Standard Model. We examine the capability of the CEPC to test this hypothesis in the Higgsstrahlung channel $e^{+}e^{-}\!\to ZS$ with $Z\!\toμ^{+}μ^{-}$ and $S\!\toτ^{+}τ^{-}$. Full detector simulation shows that the optimal center-of-mass energy to study the 95 GeV light scalar is 210 GeV. A deep neural network classifier reduces the luminosity required for discovery by half. At $L=500$ fb$^{-1}$, the …

Planar pulsating traveling wave solutions of non-cooperative Fisher--KPP systems in space-time periodic media
L\'eo Girardin (CNRS, ICJ, MMCS), Gr\'egoire Nadin (IDP, CNRS)
https://arxiv.org/abs/2506.22003

Planar pulsating traveling wave solutions of non-cooperative Fisher--KPP systems in space-time periodic media
Non-cooperative Fisher-KPP systems with space-time periodic coefficients are motivated for instance by models for structured populations evolving in periodic environments. This paper is concerned with entire solutions describing the invasion of open space by a persistent population at constant speed. These solutions are important in the understanding of long-time behaviors for the Cauchy problem. Adapting methods developed for scalar equations satisfying the comparison principle as well as meth…

This https://arxiv.org/abs/2410.04394 has been replaced.
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A combinatorial approach to nonlinear spectral gaps
A seminal open question of Pisier and Mendel--Naor asks whether every degree-regular graph which satisfies the classical discrete Poincaré inequality for scalar functions, also satisfies an analogous inequality for functions taking values in \textit{any} normed space with non-trivial cotype. Motivated by applications, it is also greatly important to quantify the dependence of the corresponding optimal Poincaré constant on the cotype $q$. Works of Odell--Schlumprecht (1994), Ozawa (2004), and …

Scalar Lattices and Probabilistic Shaping for Dithered Wyner-Ziv Quantization
Muhammed Yusuf Sener (Shitz), Gerhard Kramer (Shitz), Shlomo Shamai (Shitz), Wen Xu
https://arxiv.org/abs/2506.13162

Scalar Lattices and Probabilistic Shaping for Dithered Wyner-Ziv Quantization
Scalar lattice quantization with a modulo operator, dithering, and probabilistic shaping is applied to the Wyner-Ziv (WZ) problem with a Gaussian source and mean square error distortion. The method achieves the WZ rate-distortion pairs. The analysis is similar to that for dirty paper coding but requires additional steps to bound the distortion because the modulo shift is correlated with the source noise. The results extend to vector sources by reverse waterfilling on the spectrum of the covaria…

Eisenhart-Duval lift, Nonlocal Conservation laws and Painlev\'{e} Analysis in Scalar field Cosmology
Andronikos Paliathanasis
https://arxiv.org/abs/2506.21435

Eisenhart-Duval lift, Nonlocal Conservation laws and Painlevé Analysis in Scalar field Cosmology
We investigate the existence of nonlocal conservation laws for the gravitational field equations of scalar field cosmology in an FLRW background with a dust fluid source. We perform such analysis by using a novel approach for the Eisenhart-Duval lift. It follows that the scalar field potential $V\left( ϕ\right) =α\left( e^{λϕ}+β\right) $ admits nontrivial conservation laws. Furthermore, we employ the Painlevé analysis to examine the integrability of the field equations. For the quintessen…

S-wave flavor-singlet meson mixing in QCD with light and charm quarks
Juan Andr\'es Urrea-Ni\~no, Jacob Finkenrath, Roman H\"ollwieser, Francesco Knechtli, Tomasz Korzec, Michael Peardon
https://arxiv.org/abs/2506.22132

S-wave flavor-singlet meson mixing in QCD with light and charm quarks
We investigate the mixing between flavor-singlet light meson and charmonium operators in the S-wave channels, i.e. pseudo-scalar and vector channel, at two different pion masses. We measure statistically significant non-zero correlations between operators with different quark content corresponding to off-diagonal entries of a flavor-singlet mixing correlation matrix. By solving a GEVP we extract the low-lying energy spectrum and compare it with the one obtained by the different types of operato…

This https://arxiv.org/abs/2501.13210 has been replaced.
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Primordial gravitational waves in DHOST inflation
We consider DHOST inflationary models with a shift symmetry leading to a de Sitter space-time at the background cosmological level. Deviations from scale invariance of the scalar and tensor perturbations follow from the breaking of the shift symmetry by quadratic and quartic operators. These models show a strong violation of the consistency relation of single-field inflationary models with a very flat spectrum of tensor perturbations. This opens up the prospects of future detection of primordia…

Confining kinks. $\zeta$-regularized one-loop kink mass shifts in exotic field theories
Luis Inzunza, Juan Mateos Guilarte, Pablo Pais
https://arxiv.org/abs/2506.20440

Confining kinks. $ζ$-regularized one-loop kink mass shifts in exotic field theories
By combining stability analysis of scalar field theories with the Darboux transformation technique, we create models featuring kink-like solutions whose quantum perturbations are all bounded. On the one hand, the stability analysis relates scalar theories with Schrödinger equations, whose solutions serve as quantum perturbation modes. On the other hand, the Darboux transformation allows for constructing new exotic but solvable Schrödinger equations. This framework relates the quantum harmonic…

Closure for Microscale Fluctuations in Chaotic Mixing Fronts
Heyman Joris, Le Borgne Tanguy, Lester Daniel
https://arxiv.org/abs/2506.15255 https://…

Closure for Microscale Fluctuations in Chaotic Mixing Fronts
Scalar mixing fronts are formed under the stirring and spreading action of a random velocity field. The prediction of concentration statistics below the velocity length scale is an open problem. Here, we show that when fluid agitation is caused by a smooth chaotic flow with weak persistence, the evolution of scalar variance can be uniquely related to the stirring and spreading properties of the flow and the diffusivity of the scalar. Using the spectral description of microscale scalar fluctuati…

Heavy scalar molecule $B_{c}^{ } B_{c}^{-}$
S. S. Agaev, K. Azizi, H. Sundu
https://arxiv.org/abs/2506.19927 https://arxiv.org/pdf/25…

Heavy scalar molecule $B_{c}^{+} B_{c}^{-}$
Mass and full width of the heavy scalar molecule $\mathcal{M}$ composed of the mesons $B_{c}^{+}$ and $B_{c}^{-}$ are calculated in QCD sum rule framework. To find its mass and current coupling we apply the two-point sum rule method. The width of the hadronic molecule $\mathcal{M} =B_{c}^{+}B_{c}^{-}$ is evaluated by taking into account its dissociation to $η_cη_{b}, J/ψΥ$, and $ B_{c}^{+}B_{c}^{-} $ mesons. Decays into $D$ and $B$ meson pairs with appropriate charges and quantum numbers tr…

Prescribed Chern scalar curvatures on complete Hermitian manifolds
Weike Yu
https://arxiv.org/abs/2506.14592 https://arxiv.org/pdf/25…

Prescribed Chern scalar curvatures on complete Hermitian manifolds
In this paper, we investigate the problem of prescribing Chern scalar curvatures on complete Hermitian manifolds. Firstly, we re-prove our recent result for prescribing sign-changing Chern scalar curvatures on compact Hermitian manifolds by using the classical maximum principle. Secondly, we study this problem on complete noncompact Hermitian manifolds, and generalize the Aviles-McOwen's existence results [J. Differential Geom., 21 (1985): 269-281] from Poincaré disks to higher dimensional Her…

Relativistic Deformation of Geometry through Function C(v): Scalar Deformation Flow and the Geometric Classification of 3-Manifolds
Anton Alexa
https://arxiv.org/abs/2506.01146

Relativistic Deformation of Geometry through Function C(v): Scalar Deformation Flow and the Geometric Classification of 3-Manifolds
We introduce the scalar deformation function C(v), which captures how local geometric structures respond to motion at velocity v. This function exhibits smooth analytic behavior and defines a critical velocity vc beyond which the geometry compresses. Extending C(v) into a flow C(v, tau), we construct a scalar analogue of Ricci flow that governs the evolution of geometric configurations toward symmetric, stable states without singularities. The flow is derived from a variational energy functiona…

This https://arxiv.org/abs/2402.06558 has been replaced.
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The Asymptotic Structure of Cosmological Integrals
We provide a general analysis of the asymptotic behaviour of perturbative contributions to observables in arbitrary power-law FRW cosmologies, indistinctly the Bunch-Davies wavefunction and cosmological correlators. We consider a large class of scalar toy models, including conformally-coupled and massless scalars in arbitrary dimensions, that admits a first principle definition in terms of (generalised/weighted) cosmological polytopes. The perturbative contributions to an observable can be expr…

This https://arxiv.org/abs/2403.02771 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Absence of antisymmetric tensor fields : Clue from Starobinsky model of f(R) gravity
One of the surprising aspects of the present Universe, is the absence of any noticeable observable effects of higher-rank antisymmetric tensor fields in any natural phenomena. Here, we address the possible explanation of the absence of the higher rank antisymmetric tensor fields within the framework of $f(R)$ gravity. We explore the cosmological evolution of the scalar degrees of freedom associated with higher curvature term in a general $f(R)$ gravity model $f (R) = R +α_n R^n$. We show that …

Stability Analysis of Four $f(Q)$ Gravity Models : A Cosmological Review in the Background of Bianchi-I Anisotropy
Subhajit Pal, Atanu Mukherjee, Ritabrata Biswas, Farook Rahaman
https://arxiv.org/abs/2506.21715

Stability Analysis of Four $f(Q)$ Gravity Models : A Cosmological Review in the Background of Bianchi-I Anisotropy
With the non-metricity scalar $Q$ as the functional argument, several $f(Q)$ gravity models is found to be proposed which are perfectly able to mimic the late time accelerated expansion as pointed out by the type Ia supernovae observations. Temperature fluctuation differences for two celestial hemispheres, Hubble tension, voids, dipole modulation, anisotropic inflation etc motivates us to think beyond the $Λ$CDM model and cosmological principle. Bianchi-I model portrays anisotropic universe im…

Covering instability for the existence of positive scalar curvature metrics
Chao Li, Boyu Zhang
https://arxiv.org/abs/2506.13885 https://

Covering instability for the existence of positive scalar curvature metrics
We show that a closed non-orientable $3$-manifold admits a positive scalar curvature metric if and only if its orientation double cover does; however, for each $4\le n\le 7$, there exist infinitely many non-homeomorphic smooth non-orientable $n$--manifolds such that each of them does not admit any Riemannian metric with positive scalar curvature, but its orientation double cover does. These examples were first introduced by Alpert--Balitskiy--Guth in the study of Urysohn widths. To prove the …

A Common Origin of Asymmetric Self-interacting Dark Matter and Dirac Leptogenesis
Manoranjan Dutta, Nimmala Narendra
https://arxiv.org/abs/2506.22388 https…

A Common Origin of Asymmetric Self-interacting Dark Matter and Dirac Leptogenesis
Assuming dark matter to be asymmetric as well as self-interacting and neutrinos to be Dirac fermions, we propose a framework to address the observed baryon imbalance of the universe. We add three right-handed neutrinos $ν_{R_i},\,{i=1,2,3}$, one singlet fermion $χ$, a doublet fermion $ψ$, and heavy scalar doublets $η_i,\,{i=1,2}$ to the Standard Model. Both $χ$ and $ψ$ are fermions with non-zero charge under an extended $U(1)_{B-L} \times U(1)_D$ symmetry. Additionally, a $\mathcal{Z}_2$ …

This https://arxiv.org/abs/2502.04434 has been replaced.
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Searching for Inflationary Physics with the CMB Trispectrum: 1. Primordial Theory & Optimal Estimators
The primordial four-point function encodes a wealth of information about the inflationary Universe. Despite extensive theoretical work, most models of four-point physics have never been compared to data. In this series, we conduct a detailed analysis of Cosmic Microwave Background temperature and polarization trispectra, searching for a wide variety of phenomena including local effects, self-interactions, curvatons, DBI inflation, gauge fields, solid inflation, scalar field exchange, spinning m…

Can an Extra Degree of Freedom in Scalar-Tensor Non-Metricity Gravity Account for the Evolution of the Universe?
Ghulam Murtaza, Avik De, Andronikos Paliathanasis, Tee-How Loo
https://arxiv.org/abs/2506.17099

Can an Extra Degree of Freedom in Scalar-Tensor Non-Metricity Gravity Account for the Evolution of the Universe?
We investigate whether the extra scalar degree of freedom that arises in the second connection class of scalar-tensor non-metricity gravity can accurately replicate and potentially enrich the cosmic expansion history. Focusing on a spatially flat FLRW background, we introduce Hubble-normalized variables and recast the field equations into an autonomous dynamical system. Four representative scenarios are analyzed comprehensively. Phase-space research reveals a rich hierarchy of critical points: …

The QCD scalar susceptibility and thermal scalar resonances in chiral symmetry restoration
Angel G\'omez Nicola, Andrea Vioque-Rodr\'iguez
https://arxiv.org/abs/2506.14599

The QCD scalar susceptibility and thermal scalar resonances in chiral symmetry restoration
Building upon recent results on the role of thermal resonances in chiral symmetry restoration, we show that a description of the QCD scalar susceptibility at finite temperature $T$ saturated by the thermal properties of the lightest scalar resonance, the $f_0(500)$, is compatible both with lattice QCD data at nonzero $T$ and with the $T=0$ light resonance properties coming from experimental data. The thermal $f_0(500)$ is generated within the framework of Unitarized Chiral Perturbation Theory. …

Observational Constraints on Scalar Field--Matter Interaction in Weyl Integrable Spacetime
Andronikos Paliathanasis
https://arxiv.org/abs/2506.16223 https:…

Observational Constraints on Scalar Field--Matter Interaction in Weyl Integrable Spacetime
We test an analytic cosmological solution within the framework of Weyl Integrable Spacetime using current observational data. In this model, dark energy is described by a pressureless fluid, while a scalar field arises naturally through the definition of the connection. This gravitational theory reveals a Chameleon Mechanism leading to a nonzero interaction between the scalar field and the matter sector. This model extends the standard $Λ$CDM cosmology by introducing one additional degree of f…

Finite temperature Casimir effect of a Lorentz-violating scalar with higher order derivatives
Andrea Erdas
https://arxiv.org/abs/2506.10284 https://…

Finite temperature Casimir effect of a Lorentz-violating scalar with higher order derivatives
In this work I study the finite temperature Casimir effect caused by a complex and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. The Lorentz invariance breaking is caused by a constant space-like vector directly coupled to higher order field derivatives. This vector needs to be space-like in order to avoid non-causality problems that will arise with a time-like vector. I investigate the two scenarios of the scalar field satisfying either Dirichlet or mix…

On the Dark-Energy Enigma
Ali H. Chamseddine, J\"urg Fr\"ohlich
https://arxiv.org/abs/2506.21099 https://arxiv.org/pdf/2506…

On the Dark-Energy Enigma
We present a model that offers an explanation for the presence of (Dark Matter and) Dark Energy in the universe. A key idea is to express the volume form of the Lorentzian metric on space-time in terms of a positive function of a new scalar field multiplying a certain four-form given by the wedge product of the differential of the mimetic scalar field and a certain closed three-form. An ansatz for this three-form related to one commonly used to determine the winding number of a map from a three…

Cancellation of one-loop correction to soft tensor power spectrum
Yohei Ema, Muzi Hong, Ryusuke Jinno, Kyohei Mukaida
https://arxiv.org/abs/2506.15780 http…

Cancellation of one-loop correction to soft tensor power spectrum
We demonstrate that there are no scale-invariant one-loop corrections to the superhorizon tensor perturbations from small-scale (potentially enhanced) scalar perturbations, irrespective of the details of inflationary background time evolution. For this purpose we derive a soft tensor effective field theory at leading order in the gradient expansion by integrating out small-scale scalar fluctuations in a general time-dependent background over the Schwinger-Keldysh contour, i.e., we perform loop …

Towards Stochastic Inflation in Higher-Curvature Gravity
Yermek Aldabergenov, Ding Ding, Wei Lin, Yidun Wan
https://arxiv.org/abs/2506.21423 https://

Towards Stochastic Inflation in Higher-Curvature Gravity
We study stochastic inflation in the presence of higher-curvature terms non-minimally coupled to the inflaton. Focusing on quadratic curvature invariants, we single out the Gauss--Bonnet term which is known to avoid ghosts, while having non-trivial effects on the background and scalar mode evolution when coupled to the scalar field. Stochastic Klein--Gordon and Langevin equations are derived in the presence of the Gauss--Bonnet coupling, and their slow-roll and ultra-slow-roll limits are studie…

Close Hyperbolic Encounters In f(R) Gravity
Jenna Bruton, Peter Dunsby, Alvaro de la Cruz-Dombriz
https://arxiv.org/abs/2506.20787 https://

Close Hyperbolic Encounters In f(R) Gravity
We explore the dynamics and gravitational-wave emission from black hole pairs on unbound orbits undergoing close hyperbolic encounters (CHEs) in dense astrophysical environments. While General Relativity predicts gravitational Bremsstrahlung radiation occurring at periastron, the contribution of the scalar gravitational-wave mode in fully general f(R) gravity remains largely unexplored. We characterize the f(R) scalar mode gravitational radiation for both non-precessing and precessing hyperboli…

Constraint on Momentum-coupled Dark Energy using DESI DR2
Prasanta Sahoo, Nandan Roy, Himadri Shekhar Mondal
https://arxiv.org/abs/2506.21295 https://

Constraint on Momentum-coupled Dark Energy using DESI DR2
In this work, we study two scalar field driven dark energy models characterized by the axion potential and the inverse power law potential, each coupled to dark matter through a momentum exchange interaction. By formulating the dynamics as an autonomous system, we identify the equilibrium points and analyze their stability. To constrain these models, we utilize observational data from Pantheon Plus Type Ia Supernovae, DES Y5, DESI DR2 BAO, and Planck 2018 CMB compressed likelihood, employing Ma…

A nontopological soliton with a dipole chromomagnetic field
A. Yu. Loginov
https://arxiv.org/abs/2506.20281 https://arxiv.org/pdf/250…

A nontopological soliton with a dipole chromomagnetic field
A non-Abelian gauge model with a complex isovector scalar field and a sixth-order self-interaction potential is considered. It is shown that it has a nontopological soliton solution. The features of this soliton include a monopole-like core surrounded by a Q-ball-like shell, the existence of radially excited states, and a long-range dipole chromomagnetic field. The properties of the soliton are studied using analytical and numerical methods. In particular, the asymptotic dependencies of the ene…

Experimental Determination of BSM Triple Higgs Couplings at the HL-LHC with Neural Networks
Markus Frank, Sven Heinemeyer, Margarete M\"uhlleitner, Kateryna Radchenko
https://arxiv.org/abs/2506.18981

Experimental Determination of BSM Triple Higgs Couplings at the HL-LHC with Neural Networks
The shape of the Higgs potential is modified by the presence of additional scalar fields, as predicted in many Beyond-Standard-Model (BSM) scenarios. In such cases, deviations in the Higgs self-interactions, in particular the trilinear Higgs couplings, could serve to disentangle the physics beyond the Standard Model (SM). While the SM predicts only one trilinear Higgs coupling, extended scalar sectors allow for additional self-interactions that can manifest themselves in Higgs pair production, …

On geometry of $Q^{(2k)}_g$-curvature
Mingxiang Li, Juncheng Wei, Xingwang Xu
https://arxiv.org/abs/2506.20165 https://arxiv.org/pdf/…

On geometry of $Q^{(2k)}_g$-curvature
The main purpose of current article is to study the geometry of $Q$-curvature. For simplicity, we start with a very simple model: a complete and conformal metric $g=e^{2u}|dx|^2$ on $\mathbb{R}^n$. We assume the metric $g$ has non-negative $nth$-order $Q$-curvature and non-negative scalar curvature. We show that the Ricci curvature is non-negative. We further assume that the metric $g$ is not degenerate in the sense that the isoperimetric ratio near the end is positive. With this extr…

Exact vacuum solution with Hopf structure in general relativity
Junpei Harada
https://arxiv.org/abs/2506.20878 https://arxiv.org/pdf/…

Exact vacuum solution with Hopf structure in general relativity
An exact solution to the vacuum Einstein equations is presented, whose structure is based on the Hopf fibration. The solution employs a geodesic null vector field that defines a twisting congruence and appears in the metric in Kerr-Schild form. This solution is of Petrov type D and involves two parameters. Remarkably, the resulting spacetime is regular, with no curvature singularities. Both the Kretschmann scalar and the Chern-Pontryagin scalar are nonzero and remain finite throughout the space…

A covariant scalar-field framework for singularity resolution and dark energy
Martin Drobczyk
https://arxiv.org/abs/2506.12464 https://

A covariant scalar-field framework for singularity resolution and dark energy
We present a covariant scalar-field framework that unifies the space-time singularity resolution with dynamic dark energy. The theory extends general relativity by introducing a scalar field $Φ$ whose potential couples to the Lorentz-invariant quantity $X \equiv u_α u_β T^{αβ}_{\mathrm{matter}}$, ensuring manifest covariance. The resulting density-responsive scalar energy $ρ_Φ$ exhibits dual behavior: (i) in high-density regimes, it saturates at $ρ_Φ\leq AM_P^4/2$, providing a Planck-s…

Scalar Triple-Heavy Tetraquark States With Quark Content $cc\bar{c}\bar{s}$
Yong-Jiang Xu, Luo-Geng Tian, Yuan Li, Jin-Yun Wu, Yong-Lu Liu, Ming-Qiu Huang
https://arxiv.org/abs/2506.14527

Scalar Triple-Heavy Tetraquark States With Quark Content $cc\bar{c}\bar{s}$
In this paper, we study the scalar triple-heavy tetraquark states with quark content $cc\bar{c}\bar{s}$, $η_{c}D_{s}$ molecular state and $[cc]_{A(T)}[\bar{c}\bar{s}]_{A(T)}$ compact tetraquark states, by the QCD sum rule method. First, we construct the needed interpolating currents, $J^{M}(x)$, $J^{T_{1}}(x)$, and $J^{T_{2}}(x)$. Then, we derive the sum rules for the masses and the current coupling constants. Finally, we numerically analyze these sum rules, and find $m_{M}=4.9392^{+0.0851}_{-…

The fate of Quasi-Exponential inflation in the light of ACT-DR6
Barun Kumar Pal
https://arxiv.org/abs/2506.20744 https://arxiv.org/pd…

The fate of Quasi-Exponential inflation in the light of ACT-DR6
We have revisited quasi-exponential model of inflation in the light of recent ACT-DR6 and Planck-2018 data along with latest constraint on the amplitude of primordial gravity waves. For our analysis we have followed Mukhanov approach for inflationary equation-of-state employing Hamilton-Jacobi formulation. We find that the model is capable of mimicking Planck-2018 results by providing excellent fit to scalar spectral index and its running. Not only that, amount of primordial gravity waves is al…

Charged Scalar Field at Future Null Infinity via Nonlinear Hyperboloidal Evolution
Jo\~ao D. \'Alvares, Alex Va\~no-Vin\~uales
https://arxiv.org/abs/2506.15311

Charged Scalar Field at Future Null Infinity via Nonlinear Hyperboloidal Evolution
Quasinormal modes and power-law late-time decay tails of a charged scalar field in a charged black hole background have been studied, but never in the fully non-linear regime, as far as we know. In this paper, we study the dependence of these properties on the charges of scalar field and black hole. For the quasinormal modes, a fit of the spherical fundamental mode is shown for the purely uncharged case and compared to the charged one. We also see for the first time the transition from gravitat…

Gravitational Waves from Spectator Scalar Fields
Marcos A. G. Garcia, Sarunas Verner
https://arxiv.org/abs/2506.12126 https://arxiv.o…

Gravitational Waves from Spectator Scalar Fields
We propose a novel mechanism for gravitational wave (GW) production sourced by spectator scalar fields during inflation. These fields, while not driving cosmic expansion, generate blue-tilted isocurvature fluctuations that naturally satisfy current CMB constraints at large scales while producing enhanced power spectra at smaller scales accessible to GW detectors. The resulting GW spectrum spans an exceptionally broad frequency range from $10^{-20}$ to $1$ Hz, with amplitudes ranging from $Ω_{\…

Testing scalar dark matter clumps with Pulsar Timing Arrays
Philippe Brax, Patrick Valageas
https://arxiv.org/abs/2506.08786 https://…

Testing scalar dark matter clumps with Pulsar Timing Arrays
Scalar dark matter is a viable alternative to particle dark matter models such as Weakly Interacting Massive Particles (WIMPS). This is particularly the case for scalars with a low mass $m \gtrsim 10^{-21} {\rm eV}$ as required to make quantum effects macroscopic on galactic scales. We point out that by synchronising the measurements of arrival times of pairs of pulsars, Pulsar Timing Arrays (PTA) could probe ultralight dark matter (ULDM) scenarios with a mass $10^{-23} {\rm eV}\lesssim m \less…

Cosmological effect of coherent oscillation of ultralight scalar fields in a multicomponent universe
Priyanka Saha, Dipanjan Dey, Kaushik Bhattacharya
https://arxiv.org/abs/2506.12863

Cosmological effect of coherent oscillation of ultralight scalar fields in a multicomponent universe
The idea that coherent oscillations of a scalar field, oscillating over a time period that is much shorter than the cosmological timescale, can exhibit cold dark matter (CDM) like behavior was previously established. In our work we first show that this equivalence between the oscillating scalar field model and the CDM sector is exact only in a flat Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime in the absence of cosmological constant and any other possible matter components in the univers…

Multiple Soft Scatterings in Scalar Dark Matter Freeze-In
Mathias Becker, Maria Jose Fernandez Lozano, Julia Harz, Carlos Tamarit
https://arxiv.org/abs/2506.11185

Multiple Soft Scatterings in Scalar Dark Matter Freeze-In
We present an improved calculation of the freeze-in production rate for scalar dark matter (DM) from a gauge-charged parent particle via a renormalizable interaction. Building on the previously developed 1PI-resummed framework to accurately capture the relevant regime $T \sim M$, we expand the analysis to include the Landau-Pomeranchuk-Migdal (LPM) effect, which contributes at leading order $g^2 T$ to the interaction rate in the ultra-relativistic limit. To this end, we derive an equation for t…

Gravitational Baryogenesis Constraints on Nojiri-Odintsov $f(R)$ Gravity
Kalyan Malakar, Mrinnoy M Gohain, Kalyan Bhuyan
https://arxiv.org/abs/2506.18949 h…

Gravitational Baryogenesis Constraints on Nojiri-Odintsov $f(R)$ Gravity
This paper focuses on exploring the imbalance between matter and antimatter via the gravitational baryogenesis mechanism within the framework of Nojiri-Odintsov $f(R)$ gravity models in a spatially flat FLRW universe, where $R$ is the Ricci curvature scalar. This mechanism is based on \(\mathcal{CP}\)-violation generated via introducing an interaction between baryonic matter current (\(J^μ\)) and the derivative of curvature scalar (\(\partial_μR\)), which finally results in the baryon asymmet…

Higgs pole inflation with loop corrections in light of ACT results
Jeonghak Han, Hyun Min Lee, Jun-Ho Song
https://arxiv.org/abs/2506.21189 https://…

Higgs pole inflation with loop corrections in light of ACT results
We present the Coleman-Weinberg potential for the inflaton in the pole inflation scenarios such as the Higgs pole inflation and the Peccei-Quinn (PQ) pole inflation. The loop corrections stem from the Standard Model particles and extra singlet scalar fields in the former case, making the quartic coupling for the Higgs inflaton modified by the inflaton-dependent power corrections during inflation. We also obtain similar power corrections to the quartic coupling for the PQ inflaton, depending on …

Quasibound states of massive charged scalars around dilaton black holes in $2 1$ dimensions: Exact frequencies
H. S. Vieira
https://arxiv.org/abs/2506.18740

Quasibound states of massive charged scalars around dilaton black holes in $2+1$ dimensions: Exact frequencies
In this work, we investigate massive charged scalar perturbations in the background of three-dimensional dilaton black holes with a cosmological constant. We demonstrate that the wave equations governing the dynamics of these perturbations are exactly solvable, with the radial part expressible in terms of confluent Heun functions. The quasibound state frequencies are computed analytically, and we examine their dependence on the scalar field's mass and charge, as well as on the black hole's mass…

Quark-universal $U(1)$ breaking scalar at the LHC
Lorin Armbruster, Bogdan A. Dobrescu, Felix Yu
https://arxiv.org/abs/2506.06068 https://

Quark-universal $U(1)$ breaking scalar at the LHC
If the quarks or leptons are charged under a new $U(1)$ gauge symmetry, then besides a $Z'$ boson there must exist at least one new boson whose decay products include Standard Model particles. In the case of a minimal symmetry breaking sector, that new boson is a scalar $ϕ$ that couples to the $Z'$ boson as well as to the new fermions required to cancel the $U(1)$ gauge anomalies. The scalar may be produced at the LHC in association with a $Z'$ boson, or through $Z'$ boson fusion, while its de…

Novel black holes with scalar hair in the Einstein-Maxwell-Scalar Theory with positive coupling
Hong Guo, Wei-Liang Qian, Bean Wang
https://arxiv.org/abs/2506.02445

Novel black holes with scalar hair in the Einstein-Maxwell-Scalar Theory with positive coupling
In this work, we find a new branch of hairy black hole solutions in the Einstein-Maxwell-Scalar (EMS) theory in four-dimensional asymptotically flat spacetimes. Different from spontaneous scalarization induced by tachyonic instabilities in Reissner-Nordström (RN) black holes with a negative coupling parameter, these scalar-hairy black hole solutions arise when the coupling parameter is positive, where nonlinear coupling plays the dominant role, meaning that the coupling is positively correlate…

Dynamical dark energy in the no-scale Brans-Dicke gravity
Muzi Hong, Kyohei Mukaida, Tsutomu T. Yanagida
https://arxiv.org/abs/2506.01543 https://

Dynamical dark energy in the no-scale Brans-Dicke gravity
We add a new scalar field in the no-scale Brans-Dicke gravity and require it to have a global O(2) symmetry with the original scalar field in the Brans-Dicke gravity. This gives us a new massless scalar field in the Einstein frame due to the SO(2) symmetry. We then explicitly break the O(2) symmetry to a $D_4$ symmetry, and this scalar field gains a periodic potential. This scalar field can serve as the quintessence field to explain dark energy. If we further add the $R^2$ term and the non-mini…

Peculiarities of quantum field theory in the presence of a wormhole
Mikhail N. Smolyakov
https://arxiv.org/abs/2506.21256 https://arx…

Peculiarities of quantum field theory in the presence of a wormhole
In this paper, quantum theory of a real massive scalar field in the background of a traversable wormhole is examined. The wormhole is supposed to connect two different universes, as a particular example the simplest Ellis wormhole is considered. It is shown that the resulting theory possesses a doubling of quantum states parameterized by the same value of asymptotic momentum, two different sets of such degenerate states are localized in different universes. This is a consequence of the topologi…

Phase space and Data analyses of a non-minimally coupled scalar field system with decaying dark energy model
Yerlan Myrzakulov, Saddam Hussain, M. Shahalam
https://arxiv.org/abs/2506.11755

Phase space and Data analyses of a non-minimally coupled scalar field system with decaying dark energy model
We investigate a class of scalar field dark energy models non-minimally coupled to gravity, characterized by a double exponential potential and parameterized coupling ξ. First, we study the cosmological dynamics for a recently proposed Q-SC-CDM model. Initially, we choose two distinct values of ξ: 0.1 and 0.5. In case of ξ=0.1, the evolution of the universe is split up into three different phases: deceleration, acceleration and slow-contraction, and provide Big Crunch Singularity at distant …

Gravitational Wave Generation and Detection in Gravitational Quantum Field Theory
Yuan-Kun Gao, Da Huang, Yue-Liang Wu
https://arxiv.org/abs/2506.21225 htt…

Gravitational Wave Generation and Detection in Gravitational Quantum Field Theory
We investigate the production and detection of gravitational waves (GWs) within the framework of Gravitational Quantum Field Theory (GQFT). In this theory, GWs exhibit five propagating modes: one scalar, two vector, and two tensor modes. Unlike General Relativity, the gravitational field equations in GQFT involve both symmetric and antisymmetric tensors, governed by their respective energy-momentum tensors, both of which can act as sources for GW radiation. By solving the linearized gravitation…

Exploring Dark Energy via Non-Minimal Coupling in $f(Q,L_m)$ Gravity with Gong-Zhang Parameterization
Yash B. Ingole, K. V. Somwanshi, S. R. Bhoyar, S. N. Bayaskar
https://arxiv.org/abs/2506.21083

Exploring Dark Energy via Non-Minimal Coupling in $f(Q,L_m)$ Gravity with Gong-Zhang Parameterization
In this study, we investigate the late-time accelerated expansion of the universe within the framework of non-minimally coupled $f(Q,L_m)$ gravity, where $Q$ is the non-metricity scalar and $L_m$ is the matter Lagrangian. We derive modified Friedmann equations in a flat FLRW background and employ the \textit{Gong-Zhang} parameterization for the DE equation of state (EoS), allowing an analytical form of the Hubble parameter $H(z)$. The model parameters are constrained using recent Cosmic Chronom…

Gravitational wave propagation in hybrid metric-Palatini gravity
Cl\'audio Gomes, Jo\~ao Lu\'is Rosa, Miguel A. S. Pinto
https://arxiv.org/abs/2506.12870

Gravitational wave propagation in hybrid metric-Palatini gravity
In this work we analyze the propagation properties of gravitational waves in the hybrid metric-Palatini gravity theory. We introduce the scalar-tensor representation of the theory to make explicit the scalar degrees of freedom of the theory and obtain their equations of motion in a form decoupled from the metric tensor. Then, we introduce linear perturbations for the metric tensor and for the two scalar fields and obtain the propagation equations for these three quantities. We analyzed the theo…

Supermassive black hole scalarization and effective field theory
Farid Thaalba, Pedro G. S. Fernandes, Thomas P. Sotiriou
https://arxiv.org/abs/2506.21434 …

Supermassive black hole scalarization and effective field theory
A model in which black hole scalarization occurs for supermassive black holes, while their less massive counterparts remain unscalarized, has been recently proposed. We explore whether this model can emerge from an effective field theory obtained by integrating out a heavy second scalar field. We show that the resulting EFT does not have the right coupling sign or the right hierarchy of scales. We then consider whether supermassive black hole scalarization could occur in theories with two scala…

Many phases in a hairy box in three dimensions
Shoichiro Miyashita
https://arxiv.org/abs/2506.20528 https://arxiv.org/pdf/2506.20528

Many phases in a hairy box in three dimensions
In this paper, I investigate gravitational thermodynamics of the Einstein-Maxwell-scalar system in three dimensions without a cosmological constant. In the previous work by Krishnan,Shekhar, and Bala Subramanian (Nucl. Phys. B 958 (2020) 115115 [33]), it was argued that this system has no BH saddles, but has only empty (flat space) saddles and boson star saddles. It was then concluded that the structure of the thermodynamic phase space is much simpler than in the higher dimensional cases. I wil…

Topological Stars and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit
Donato Bini, Giorgio Di Russo
https://arxiv.org/abs/2506.14442

Topological Stars and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit
We show that for a Topological Star the renormalized angular momentum parameter, $ν$, appearing in the Mano-Suzuki-Takasugi-type or in the quantum-Seiberg-Witten-type approaches of the perturbation equations, has 1) a direct link with the geodesic radial action computed along the null orbits of the background and 2) admits an exact resummation in terms of hypergeometric functions, generalizing previous results valid in the Schwarzschild case, see Ref.[arXiv:2504.07862 [hep-th]].

A class of charged and charged-Taub-NUT metrics in the presence of a massless scalar field and some of their astrophysical aspects
Fatemeh Sadeghi, Behrouz Mirza, Marzieh Moradzadeh
https://arxiv.org/abs/2506.09922

A class of charged and charged-Taub-NUT metrics in the presence of a massless scalar field and some of their astrophysical aspects
We consider a class of exact solutions to the Einstein equations in the presence of a scalar field, recently introduced in [arXiv:2307.09328, arXiv:2307.13588], and derive their generalized form with dyonic charges using Harrison transformations. For specific parameter values, this class of metrics includes the charged Fisher Janis Newman Winicour (FJNW) and gamma metrics. We then investigate the motion of neutral particles in the background of these metrics and derive the corresponding effecti…

Shadow constraints of charged black hole with scalar hair and gravitational waves from extreme mass ratio inspirals
Lai Zhao, Meirong Tang, Zhaoyi Xu
https://arxiv.org/abs/2506.04971

Shadow constraints of charged black hole with scalar hair and gravitational waves from extreme mass ratio inspirals
Black hole (BH) shadow observations and gravitational wave astronomy have become crucial approaches for exploring BH physics and testing gravitational theories in extreme environments. This paper investigates the charged black hole with scalar hair (CBH-SH) derived from the Einstein-Maxwell-conformal coupled scalar (EMCS) theory. We first constrain the parameter space $(Q/M, s/M^2)$ of the BH using the Event Horizon Telescope (EHT) observations of M87* and Sgr A*. The results show that M87* pro…

This https://arxiv.org/abs/2408.01720 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Stability and quasinormal modes for black holes with time-dependent scalar hair
We investigate black hole solutions with time-dependent (scalar) hair in scalar-tensor theories. Known exact solutions exist for such theories at the background level, where the metric takes on a standard GR form (e.g. Schwarzschild-de Sitter), but these solutions are generically plagued by instabilities. Recently, a new such solution was identified in arXiv:2310.11919, in which the time-dependent scalar background profile is qualitatively different from previous known exact solutions - specifi…

This https://arxiv.org/abs/2503.05651 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Inverting no-hair theorems: How requiring General Relativity solutions restricts scalar-tensor theories
Black hole solutions in general scalar-tensor theories are known to permit hair, i.e. non-trivial scalar profiles and/or metric solutions different from the ones of General Relativity (GR). Imposing that some such solutions$\unicode{x2013}$e.g. Schwarzschild or de Sitter solutions motivated in the context of black hole physics or cosmology$\unicode{x2013}$should exist, the space of scalar-tensor theories is strongly restricted. Here we investigate precisely what these restrictions are within ge…