Tootfinder

Vacuum correlations of the stress-energy-momentum tensor with constituent quarks
Mirko Serino, Wojciech Broniowski, Enrique Ruiz Arriola
https://arxiv.org/abs/2404.04021

Vacuum correlations of the stress-energy-momentum tensor with constituent quarks
The two point correlation function of the stress-energy-momentum tensor describes the propagation of a space-time "micro-earthquake" in the vacuum. In the framework of the path integral formulation of field theory in curved space-time, we derive the Ward-Takashi identity for two-point Green's function of the stress-energy-momentum tensor for a general case of a non-conformal theory. The identity constrains the longitudinal part of the correlator, with the vacuum expectation value of the stress-…

This https://arxiv.org/abs/2311.14630 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

SYK Model in a Non-Gaussian disorder ensemble and emergent Coleman's mechanism
We consider the case of the SYK model with non-gaussian disorder in the large $N$ limit. After obtaining the effective action, we derive the density of states and the free energy of the modified theory. We show that the non-gaussian disorder corresponds to a non-local Liouville theory, and non-minimally coupled 2D gravity action. It also provides a nice realization of Colemania - Coleman's idea from the 80s of generating a small Cosmological Constant. Finally, we also calculate out of time orde…

The vertical structure of galactic discs: nonlocal gravity versus dark matter
Tahere Kashfi, Mahmood Roshan
https://arxiv.org/abs/2403.02441 https://arxiv.org/pdf/2403.02441
arXiv:2403.02441v1 Announce Type: new
Abstract: Recent isolated galactic simulations show that the morphology of galactic discs in modified gravity differs from that of the standard dark matter model. In this study, we focused on the vertical structure of galactic discs and compared the bending instability in the vertical direction for both paradigms. To achieve this, we utilized high-resolution N-body simulations to construct two models in a specific nonlocal gravity theory (NLG) and the standard dark matter model and compared their stability against the bending perturbations. Our numerical results demonstrate that the outer regions of the disc are more susceptible to the instability in NLG, whereas the disc embedded in the dark matter halo is more unstable in the central regions. We then interpret these results based on the dispersion relation of the bending waves. To do so, we presented an analytical study to derive the dispersion relation in NLG. Our numerical results align with the predictions of our analytical models. Consequently, we conclude that the analysis of bending instability in galactic discs offers an explanation for the distinct vertical structures observed in simulated galactic discs under these two theories. These findings represent a significant step towards distinguishing between the modified gravity and dark matter models.

This https://arxiv.org/abs/2312.04872 has been replaced.
initial toot: https://mastoxiv.page/@a…

Formal Green's function theory in non-Hermitian lattice systems
In this paper, we employ the generalized Bloch theory to rediscover the generalized Brillouin zone theory and follow this way to obtain the Green's function of the non-Hermitian system. We focus on a classical chiral model and give the exact expression of the Green's function for a finite-size system and the formal expression of the Green's function suitable for infinite size. Based on these results, we further derive the correlation matrix and validate it numerically against direct calculation…

This https://arxiv.org/abs/2403.18248 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

Statistical Inference of Optimal Allocations I: Regularities and their Implications
In this paper, we develp a functional differentiability approach for solving statistical optimal allocation problems. We first derive Hadamard differentiability of the value function through a detailed analysis of the general properties of the sorting operator. Central to our framework are the concept of Hausdorff measure and the area and coarea integration formulas from geometric measure theory. Building on our Hadamard differentiability results, we demonstrate how the functional delta method …

Nonlinear Model Reduction to Temporally Aperiodic Spectral Submanifolds
George Haller, Roshan S. Kaundinya
https://arxiv.org/abs/2404.05355 https://…

Nonlinear Model Reduction to Temporally Aperiodic Spectral Submanifolds
We extend the theory of spectral submanifolds (SSMs) to general non-autonomous dynamical systems that are either weakly forced or slowly varying. Examples of such systems arise in structural dynamics, fluid-structure interactions and control problems. The time-dependent SSMs we construct under these assumptions are normally hyperbolic and hence will persist for larger forcing and faster time dependence that are beyond the reach of our precise existence theory. For this reason, we also derive fo…

This https://arxiv.org/abs/2311.06767 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Effective Field Theory of Black Hole Perturbations in Vector-Tensor Gravity
We formulate the effective field theory (EFT) of vector-tensor gravity for perturbations around an arbitrary background with a ${\it timelike}$ vector profile, which can be applied to study black hole perturbations. The vector profile spontaneously breaks both the time diffeomorphism and the $U(1)$ symmetry, leaving their combination and the spatial diffeomorphism as the residual symmetries in the unitary gauge. We derive two sets of consistency relations which guarantee the residual symmetries…

Dimension-eight Operator Basis for Universal Standard Model Effective Field Theory
Tyler Corbett, Jay Desai, O. J. P. Eboli, M. C. Gonzalez-Garcia
https://arxiv.org/abs/2404.03720

Dimension-eight Operator Basis for Universal Standard Model Effective Field Theory
We present the basis of dimension-eight operators associated with universal theories. We first derive a complete list of independent dimension-eight operators formed with the Standard Model bosonic fields characteristic of such universal new physics scenarios. Without imposing C or P symmetries the basis contains 175 operators -- that is, the assumption of Universality reduces the number of independent SMEFT coefficients at dimension eight from 44807 to 175. 89 of the 175 universal operators ar…

This https://arxiv.org/abs/2308.08280 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Large time asymptotics for partially dissipative hyperbolic systems without Fourier analysis: application to the nonlinearly damped p-system
A new framework to obtain time-decay estimates for partially dissipative hyperbolic systems set on the real line is developed. Under the classical Shizuta-Kawashima (SK) stability condition, equivalent to the Kalman rank condition in control theory, the solutions of these systems decay exponentially in time for high frequencies and polynomially for low ones. This allows to derive a sharp description of the space-time decay of solutions for large time. However, such analysis relies heavily on th…

Network analysis for the steady-state thermodynamic uncertainty relation
Yasuhiro Utsumi
https://arxiv.org/abs/2405.03611 https://arx…

Network analysis for the steady-state thermodynamic uncertainty relation
We perform network analysis of a system described by the master equation to estimate the lower bound of the steady-state current noise, starting from the level 2.5 large deviation function and using the graph theory approach. When the transition rates are uniform, and the system is driven to a non-equilibrium steady state by unidirectional transitions, we derive a noise lower bound, which accounts for fluctuations of sojourn times at all states and is expressed using mesh currents. This bound i…

Calibrated rank volatility stabilized models for large equity markets
David Itkin, Martin Larsson
https://arxiv.org/abs/2403.04674 https://

Calibrated rank volatility stabilized models for large equity markets
In the framework of stochastic portfolio theory we introduce rank volatility stabilized models for large equity markets over long time horizons. These models are rank-based extensions of the volatility stabilized models introduced by Fernholz & Karatzas in 2005. On the theoretical side we establish global existence of the model and ergodicity of the induced ranked market weights. We also derive explicit expressions for growth-optimal portfolios and show the existence of relative arbitrage with …

This https://arxiv.org/abs/2401.12288 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
We compute the expectation values of BPS Wilson loops in the mass-deformed ABJM theory using the Fermi gas technique. We obtain explicit results in terms of Airy functions, effectively resumming the full 1/N expansion up to exponentially small terms. In the maximal supersymmetric case, these expressions enable us to derive multi-point correlation functions for topological operators belonging to the stress tensor multiplet, in the presence of a 1/2--BPS Wilson line. From the one-point correlator…

Comment on "Non-reciprocal topological solitons in active metamaterials"
Duilio De Santis, Bernardo Spagnolo, Angelo Carollo, Davide Valenti, Claudio Guarcello
https://arxiv.org/abs/2404.04275

Comment on "Non-reciprocal topological solitons in active metamaterials"
In the recent work "Non-reciprocal topological solitons in active metamaterials" (see arXiv:2312.03544v1), for an analytical understanding of the system under consideration, the authors derive an ordinary differential equation for the sine-Gordon (anti)soliton velocity, with the perturbation theory in the adiabatic approximation, via the inverse scattering transform formalism, see Eq. (3) in their work. Here we note that the latter equation for the (anti)soliton velocity also follows from an en…

This https://arxiv.org/abs/2302.14092 has been replaced.
initial toot: https://mastoxiv.page/@a…

Elastic Liénard-Wiechert potentials of dynamical dislocations from tensor gauge theory in 2+1 dimensions
The dynamics of defect excitations in crystalline solids is necessary to understand the macroscopic low-energy properties of elastic media. We use fracton-elasticity duality to systematically study the defect dynamics and interactions in the linear isotropic medium. We derive the explicit expressions for the dual gauge potentials for moving dislocations and the resulting Jefimenko equations. We also compute stresses and strains. The paper includes two physical situations: when the vacancy numbe…

This https://arxiv.org/abs/2404.00094 has been replaced.
link: https://scholar.google.com/scholar?q=a

Sharp departure beyond post-Newtonian formalism
We provide a concrete example exhibiting marked deviation from the parametrized post-Newtonian (PPN) approximation in a modified theory of gravity. Specifically, we derive the exact formula for the Robertson parameter $γ$ in Brans-Dicke gravity for compact mass sources, explicitly incorporating the pressure content of these sources. We achieve this by exploiting the $\textit integrability$ of the 00-component of the Brans-Dicke field equation. In place of the conventional PPN result $γ_{\,PPN…

Emergent Equivariance in Deep Ensembles
Jan E. Gerken, Pan Kessel
https://arxiv.org/abs/2403.03103 https://arxiv.org/pdf/2403.03103…

Emergent Equivariance in Deep Ensembles
We demonstrate that deep ensembles are secretly equivariant models. More precisely, we show that deep ensembles become equivariant for all inputs and at all training times by simply using data augmentation. Crucially, equivariance holds off-manifold and for any architecture in the infinite width limit. The equivariance is emergent in the sense that predictions of individual ensemble members are not equivariant but their collective prediction is. Neural tangent kernel theory is used to derive th…

This https://arxiv.org/abs/2403.05259 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Theory of Multimode Squeezed Light Generation in Lossy Media
A unified theoretical approach to describe the properties of multimode squeezed light generated in a lossy medium is presented. This approach is valid for Markovian environments and includes both a model of discrete losses based on the beamsplitter approach and a generalized continuous loss model based on the spatial Langevin equation. For an important class of Gaussian states, we derive master equations for the second-order correlation functions and illustrate their solution for both frequency…

This https://arxiv.org/abs/2308.05258 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Algebraic Varieties in Quantum Chemistry
We develop algebraic geometry for coupled cluster (CC) theory of quantum many-body systems. The high-dimensional eigenvalue problems that encode the electronic Schrödinger equation are approximated by a hierarchy of polynomial systems at various levels of truncation. The exponential parametrization of the eigenstates gives rise to truncation varieties. These generalize Grassmannians in their Plücker embedding. We explain how to derive Hamiltonians, we offer a detailed study of truncation vari…

Nonparametric Regression under Cluster Sampling
Yuya Shimizu
https://arxiv.org/abs/2403.04766 https://arxiv.org/pdf/2403.04766…

Nonparametric Regression under Cluster Sampling
This paper develops a general asymptotic theory for nonparametric kernel regression in the presence of cluster dependence. We examine nonparametric density estimation, Nadaraya-Watson kernel regression, and local linear estimation. Our theory accommodates growing and heterogeneous cluster sizes. We derive asymptotic conditional bias and variance, establish uniform consistency, and prove asymptotic normality. Our findings reveal that under heterogeneous cluster sizes, the asymptotic variance inc…

This https://arxiv.org/abs/2311.00672 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Polarized fragmenting jet functions in Inclusive and Exclusive Jet Production
In this work, we present a complete theoretical framework for analyzing the distribution of polarized hadrons within jets, with and without measuring the transverse momentum relative to the standard jet axis. Using soft-collinear effective theory (SCET), we derive the factorization and provide the theoretical calculation of both semi-inclusive and exclusive fragmenting jet functions (FJFs) under longitudinal and transverse polarization. With the polarized FJFs, one gains access to a variety of …

This https://arxiv.org/abs/2310.11765 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nuc…

Causal hydrodynamic fluctuations in a one-dimensional expanding system
We derive equations of motion of hydrodynamic fluctuations performing perturbative expansion of the energy-momentum conservation equations around the boost invariant solution in one-dimensional expanding system. In the course of derivation, we do not assume any specific forms of constitutive equations for shear stress tensor $π^{μν}$ and bulk pressure $Π$. Therefore, the framework enables us to employ any constitutive equations beyond the Navier-Stokes theory which satisfy the causality. Em…

This https://arxiv.org/abs/2311.11326 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On Pólya's random walk constants
A celebrated result in probability theory is that a simple symmetric random walk on the $d$-dimensional lattice $\mathbb{Z}^d$ is recurrent for $d=1,2$ and transient for $d\geq 3$. In this note, we derive a closed-form expression, in terms of the Lauricella function $F_C$, for the return probability for all $d\geq3$. Previously, a closed-form formula had only been available for $d=3$.

This https://arxiv.org/abs/2402.11016 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Holographic phenomenology via overlapping degrees of freedom
The holographic principle suggests that regions of space contain fewer physical degrees of freedom than would be implied by conventional quantum field theory. Meanwhile, in Hilbert spaces of large dimension $2^n$, it is possible to define $N \gg n$ Pauli algebras that are nearly anti-commuting (but not quite) and which can be thought of as "overlapping degrees of freedom". We propose to model the phenomenology of holographic theories by allowing field-theory modes to be overlapping, and derive …

This https://arxiv.org/abs/2207.02546 has been replaced.
link: https://scholar.google.com/scholar?q=a

Adaptive deep learning for nonlinear time series models
In this paper, we develop a general theory for adaptive nonparametric estimation of the mean function of a non-stationary and nonlinear time series model using deep neural networks (DNNs). We first consider two types of DNN estimators, non-penalized and sparse-penalized DNN estimators, and establish their generalization error bounds for general non-stationary time series. We then derive minimax lower bounds for estimating mean functions belonging to a wide class of nonlinear autoregressive (AR)…

This https://arxiv.org/abs/2404.00094 has been replaced.
link: https://scholar.google.com/scholar?q=a

Sharp departure beyond post-Newtonian formalism
We provide a concrete example exhibiting marked deviation from the parametrized post-Newtonian (PPN) approximation in a modified theory of gravity. Specifically, we derive the exact formula for the Robertson parameter $γ$ in Brans-Dicke gravity for compact mass sources, explicitly incorporating the pressure content of these sources. We achieve this by exploiting the $\textit integrability$ of the 00-component of the Brans-Dicke field equation. In place of the conventional PPN result $γ_{\,PPN…

This https://arxiv.org/abs/2312.07358 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

Distributional Bellman Operators over Mean Embeddings
We propose a novel algorithmic framework for distributional reinforcement learning, based on learning finite-dimensional mean embeddings of return distributions. We derive several new algorithms for dynamic programming and temporal-difference learning based on this framework, provide asymptotic convergence theory, and examine the empirical performance of the algorithms on a suite of tabular tasks. Further, we show that this approach can be straightforwardly combined with deep reinforcement lear…

Constraints on the Dirac spectrum from chiral symmetry restoration
Matteo Giordano
https://arxiv.org/abs/2404.03546 https://arxiv.org…

Constraints on the Dirac spectrum from chiral symmetry restoration
I derive constraints on the Dirac spectrum in the chirally symmetric phase of a gauge theory with two massless fermion flavors. Using only general properties of correlation functions of scalar and pseudoscalar bilinears, I prove that in the chiral limit of vanishing quark mass $m$ all the corresponding susceptibilities must be power series in $m^2$ with finite coefficients, from which spectral constraints follow. I then use them to show that effective breaking of the anomalous $\mathrm{U}(1)_A$…

This https://arxiv.org/abs/2309.07249 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Averages of completely multiplicative functions over the Gaussian integers -- a dynamical approach
We prove a pointwise convergence result for additive ergodic averages associated with certain multiplicative actions of the Gaussian integers. We derive several applications in dynamics and number theory, including: (i) Wirsing's theorem for Gaussian integers: if $f\colon \mathbb{G} \to \mathbb{R}$ is a bounded completely multiplicative function, then the following limit exists: $$\lim_{N \to \infty} \frac{1}{N^2} \sum_{1 \leq m, n \leq N} f(m + {\rm i} n).$$ (ii) An answer to a special case …

This https://arxiv.org/abs/2211.11764 has been replaced.
link: https://scholar.google.com/scholar?q=a

Higher-group symmetry in finite gauge theory and stabilizer codes
A large class of gapped phases of matter can be described by topological finite group gauge theories. In this paper we show how such gauge theories possess a higher-group global symmetry, which we study in detail. We derive the $d$-group global symmetry and its 't Hooft anomaly for topological finite group gauge theories in $(d+1)$ space-time dimensions, including non-Abelian gauge groups and Dijkgraaf-Witten twists. We focus on the 1-form symmetry generated by invertible (Abelian) magnetic def…

How Could AI Support Design Education? A Study Across Fields Fuels Situating Analytics
Ajit Jain, Andruid Kerne, Hannah Fowler, Jinsil Seo, Galen Newman, Nic Lupfer, Aaron Perrine
https://arxiv.org/abs/2404.17390

How Could AI Support Design Education? A Study Across Fields Fuels Situating Analytics
We use the process and findings from a case study of design educators' practices of assessment and feedback to fuel theorizing about how to make AI useful in service of human experience. We build on Suchman's theory of situated actions. We perform a qualitative study of 11 educators in 5 fields, who teach design processes situated in project-based learning contexts. Through qualitative data gathering and analysis, we derive codes: design process; assessment and feedback challenges; and computat…

This https://arxiv.org/abs/2310.06892 has been replaced.
initial toot: https://mastoxiv.page/@…

Field theory for the dynamics of the open $O(N)$ model
A field theory approach for the nonequilibrium relaxation dynamics in open systems at late times is developed. In the absence of conservation laws, all excitations are subject to dissipation. Nevertheless, ordered stationary states satisfy Goldstone's theorem. It implies a vanishing damping rate at small momenta, which in turn allows for competition between environment-induced dissipation and thermalization due to collisions. We derive the dynamic theory in the symmetry-broken phase of an $O(N)…

This https://arxiv.org/abs/2310.00173 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Accumulation points of normalized approximations
Building on classical aspects of the theory of Diophantine approximation, we consider the collection of all accumulation points of normalized integer vector translates of points $qα$ with $α\in\mathbb{R}^d$ and $q\in\mathbb{Z}$. In the first part of the paper we derive measure theoretic and Hausdorff dimension results about the set of $α$ whose accumulation points are all of $\mathbb{R}^d$. In the second part we focus primarily on the case when the coordinates of $α$ together with $1$ form …

Exact Analytical Solution of the Flory-Huggins Model and Extensions to Multicomponent Systems
J. Pedro de Souza, Howard A. Stone
https://arxiv.org/abs/2404.17649

Exact Analytical Solution of the Flory-Huggins Model and Extensions to Multicomponent Systems
The Flory-Huggins theory describes the phase separation of solutions containing polymers. Although it finds widespread application from polymer physics to materials science to biology, the concentrations that coexist in separate phases at equilibrium have not been determined analytically, and numerical techniques are required that restrict the theory's ease of application. In this work, we derive an implicit analytical solution to the Flory-Huggins theory of one polymer in a solvent by applying…

This https://arxiv.org/abs/2208.07894 has been replaced.
link: https://scholar.google.com/scholar?q=a

Effective Dynamics of Translationally Invariant Magnetic Schrödinger Equations in the High Field Limit
We study the large field limit in Schrödinger equations with magnetic vector potentials describing translationally invariant $B$-fields with respect to the $z$-axis. In a first step, using regular perturbation theory, we derive an approximate description of the solution, provided the initial data is compactly supported in the Fourier-variable dual to $z\in \mathbb R$. The effective dynamics is thereby seen to produce high-frequency oscillations and large magnetic drifts. In a second step we sh…

Statistical analysis and method to propagate the impact of measurement uncertainty on dynamic mode decomposition
P. Algikar, P. Sharma, M. Netto, L. Mili
https://arxiv.org/abs/2403.17318

Statistical analysis and method to propagate the impact of measurement uncertainty on dynamic mode decomposition
We apply random matrix theory to study the impact of measurement uncertainty on dynamic mode decomposition. Specifically, when the measurements follow a normal probability density function, we show how the moments of that density propagate through the dynamic mode decomposition. While we focus on the first and second moments, the analytical expressions we derive are general and can be extended to higher-order moments. Further, the proposed numerical method to propagate uncertainty is agnostic o…

Baryon Acoustic Oscillation Theory and Modelling Systematics for the DESI 2024 results
Shi-Fan Chen, Cullan Howlett, Martin White, Patrick McDonald, Ashley J. Ross, Hee-Jong Seo, Nikhil Padmanabhan, J. Aguilar, S. Ahlen, S. Alam, O. Alves, R. Blum, D. Brooks, X. Chen, S. Cole, T. M. Davis, K. Dawson, A. de la Macorra, Arjun Dey, Z. Ding, P. Doel, S. Ferraro, A. Font-Ribera, D. Forero-S\'anchez, J. E. Forero-Romero, C. Garcia-Quintero, E. Gazta\~naga, S. Gontcho A Gontcho, M. M. S H…

Baryon Acoustic Oscillation Theory and Modelling Systematics for the DESI 2024 results
This paper provides a comprehensive overview of how fitting of Baryon Acoustic Oscillations (BAO) is carried out within the upcoming Dark Energy Spectroscopic Instrument's (DESI) 2024 results using its DR1 dataset, and the associated systematic error budget from theory and modelling of the BAO. We derive new results showing how non-linearities in the clustering of galaxies can cause potential biases in measurements of the isotropic ($α_{\mathrm{iso}}$) and anisotropic ($α_{\mathrm{ap}}$) BAO …

This https://arxiv.org/abs/2311.09156 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
We study the null asymptotic structure of Einstein-Maxwell theory in three-dimensional (3D) spacetimes. Although devoid of bulk gravitational degrees of freedom, the system admits a massless photon and can therefore accommodate electromagnetic radiation. We derive fall-off conditions for the Maxwell field that contain both Coulombic and radiative modes with non-vanishing news. The latter produces non-integrability and fluxes in the asymptotic surface charges, and gives rise to a non-trivial 3D …

This https://arxiv.org/abs/2310.11765 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nuc…

Causal hydrodynamic fluctuations in a one-dimensional expanding system
We derive equations of motion of hydrodynamic fluctuations performing perturbative expansion of the energy-momentum conservation equations around the boost invariant solution in one-dimensional expanding system. In the course of derivation, we do not assume any specific forms of constitutive equations for shear stress tensor $π^{μν}$ and bulk pressure $Π$. Therefore, the framework enables us to employ any constitutive equations beyond the Navier-Stokes theory which satisfy the causality. Em…

Large Array Antenna Spectrum Sensing in Cognitive Radio Networks
Amirhossein Taherpour, Abbas Taherpour, Tamer Khattab
https://arxiv.org/abs/2402.14219 htt…

Large Array Antenna Spectrum Sensing in Cognitive Radio Networks
We investigate the problem of spectrum sensing in cognitive radios (CRs) when the receivers are equipped with a large array of antennas. We propose and derive three detectors based on the concept of linear spectral statistics (LSS) in the field of random matrix theory (RMT). These detectors correspond to the generalized likelihood ratio (GLR), Frobenius norm, and Rao tests employed in conventional multiple antenna spectrum sensing (MASS). Subsequently, we compute the Gaussian distribution of th…

BV bialgebra structures in Floer theory and string topology
Janko Latschev, Alexandru Oancea
https://arxiv.org/abs/2402.16794 https://

BV bialgebra structures in Floer theory and string topology
We derive the notions of BV unital infinitesimal bialgebra and BV Frobenius algebra from the topology of suitable compactifications of moduli spaces of decorated genus 0 curves. We construct these structures respectively on reduced symplectic homology and Rabinowitz Floer homology. As an application, we construct these structures in nonequivariant string topology. We also show how the Lie bialgebra structure in equivariant string topology, and more generally on $S^1$-equivariant symplectic homo…

Efficient Solvers for Wyner Common Information with Application to Multi-Modal Clustering
Teng-Hui Huang, Hesham El Gamal
https://arxiv.org/abs/2402.14266 …

Efficient Solvers for Wyner Common Information with Application to Multi-Modal Clustering
We propose two novel extensions of the Wyner common information optimization problem. Each relaxes one fundamental constraints in Wyner's formulation. The \textit{Variational Wyner Common Information} relaxes the matching constraint to the known distribution while imposing conditional independence to the feasible solution set. We derive a tight surrogate upper bound of the obtained unconstrained Lagrangian via the theory of variational inference, which can be minimized efficiently. Our solver c…

This https://arxiv.org/abs/2309.00414 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Melting of olive oil in immiscible surroundings: experiments and theory
We report on the melting dynamics of frozen olive oil in quiescent water for Rayleigh numbers up to $10^9$. The density difference results in an upward buoyancy-driven flow of liquid oil forming a thin film around the frozen oil. We experimentally investigate flat, cylindrical, and spherical shapes and we derive theoretical expressions for the local film thickness, velocity, and the local melt rate for these three canonical geometries. Our theoretical models compare favourably with our experime…

Nonlinear Defect Theory of Thermalization in Complex Multimoded Systems
Emily KabatWave Transport in Complex Systems Lab, Department of Physics, Wesleyan University, Middletown, USA, Alba Y. RamosInstitute for Modeling and Innovative Technology, IMIT, Physics Department, Natural and Exact Science Faculty, Northeastern University of Argentina, Corrientes, Argentina, Lucas J. Fern\'andez-Alc\'azarInstitute for Modeling and Innovative Technology, IMIT, Physics Department, Natural …

Nonlinear Defect Theory of Thermalization in Complex Multimoded Systems
We show that a single nonlinear defect can thermalize an initial excitation towards a Rayleigh-Jeans (RJ) state in complex multimoded systems. The thermalization can be hindered by disorder-induced localization phenomena which drive the system into a metastable RJ state. It involves only a (quasi-)isolated set of prethermal modes and can differ dramatically from the thermal RJ. We develop a one-parameter scaling theory that predicts the density of prethermal modes and we derive the modal relaxa…

Hydrostatic equilibrium configurations of neutron stars in the $f(R,\mathcal{L},T)$ gravity theory
J. A. S. Fortunato, P. H. R. S. Moraes, E. Brito, J. G. de Lima J\'unior, T. S. Guerini
https://arxiv.org/abs/2402.15395

Hydrostatic equilibrium configurations of neutron stars in the $f(R,\mathcal{L},T)$ gravity theory
In the present work, we obtain the hydrostatic equilibrium configurations of neutron stars in the recently proposed $f(R,\mathcal{L},T)$ theory of gravity, for which $R$ is the Ricci scalar, $\mathcal{L}$ is the matter lagrangian density, $T$ is the trace of the energy-momentum tensor and $f$ is a function of the argument. This theory emerges in the present literature as a generalized geometry-matter coupling theory of gravity. We derive the Tolman-Oppenheimer-Volkoff-like equation for a partic…

This https://arxiv.org/abs/2309.04167 has been replaced.
initial toot: https://mastoxiv.page/@ar…

The three channels of many-body perturbation theory: $GW$, particle-particle, and electron-hole $T$-matrix self-energies
We derive the explicit expression of the three self-energies that one encounters in many-body perturbation theory: the well-known $GW$ self-energy, as well as the particle-particle and electron-hole $T$-matrix self-energies. Each of these can be easily computed via the eigenvalues and eigenvectors of a different random-phase approximation (RPA) linear eigenvalue problem that completely defines their corresponding response function. For illustrative and comparative purposes, we report the princi…

This https://arxiv.org/abs/2308.10817 has been replaced.
link: https://scholar.google.com/scholar?q=a

On the impossibility of discovering a formula for primes using AI
The present work explores the theoretical limits of Machine Learning (ML) within the framework of Kolmogorov's theory of Algorithmic Probability, which clarifies the notion of entropy as Expected Kolmogorov Complexity and formalizes other fundamental concepts such as Occam's razor via Levin's Universal Distribution. As a fundamental application, we develop Maximum Entropy methods that allow us to derive the Erdős-Kac Law and Hardy-Ramanujan theorem in Probabilistic Number Theory, and establish…

Pre-equilibrium Photon and Dilepton Production
Oscar Garcia-Montero, Aleksas Mazeliauskas, Philip Plaschke, S\"oren Schlichting
https://arxiv.org/abs/2404.02861

Pre-equilibrium Photon and Dilepton Production
We use QCD kinetic theory to compute photon and dilepton production in the chemically equilibrating out-of-equilibrium quark-gluon plasma created in the early stages of high-energy heavy-ion collisions. We derive universal scaling functions for the pre-equilibrium spectra of photons and dileptons. These scaling functions can be used to make realistic predictions for the pre-equilibrium emission and consequently establish the significance of the pre-equilibrium phase for the production of electr…

$E$-theory is compactly assembled
Ulrich Bunke, Benjamin Duenzinger
https://arxiv.org/abs/2402.18228 https://arxiv.org/pdf/2402.18228…

$E$-theory is compactly assembled
We show that the equivariant $E$-theory category $\mathrm{E}_{\mathrm{sep}}^{G}$ for separable $C^{*}$-algebras is a compactly assembled stable $\infty$-category. We derive this result as a consequence of the shape theory for $C^{*}$-algebras developed by Blackadar and Dardarlat and a new construction of $\mathrm{E}_{\mathrm{sep}}^{G}$. As an application we investigate a topological enrichment of the homotopy category of a compactly assembled $\infty$-category in general and argue that the resu…

This https://arxiv.org/abs/2401.13889 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Can quantum theory be underpinned by a non-local hidden variable theory ?
In this paper we consider the description by a general Bell-type non-local hidden variable theory (NLHVT) of bipartite quantum states with two observables per sub-system. We derive Bell inequalities of the Collins-Gisin.-Liden-Massar-Popescu (CGLMP) type which involve combinations of the probabilities of related outcomes for measurements for the four pairs of sub-system observables. It is shown that the corresponding quantum theory expressions violate the Bell inequalities in the case of the ma…

Matrix-weighted estimates beyond Calder\'on-Zygmund theory
Spyridon Kakaroumpas, Thu Hien Nguyen, Dimitris Vardakis
https://arxiv.org/abs/2404.02246 ht…

Matrix-weighted estimates beyond Calderón-Zygmund theory
We investigate matrix-weighted bounds for the linear non-kernel operators considered by F. Bernicot, D. Frey, and S. Petermichl. First, we dominate these operators by bilinear convex body sparse forms, applying a recent general principle due to T. Hytönen. Then, we use this domination to derive matrix-weighted bounds, adapting arguments of F. Nazarov, S. Petermichl, S. Treil, and A. Volberg. Our requirements on the weight are formulated in terms of two-exponent matrix Muckenhoupt conditions, w…

Pre-equilibrium Photon and Dilepton Production
Oscar Garcia-Montero, Aleksas Mazeliauskas, Philip Plaschke, S\"oren Schlichting
https://arxiv.org/abs/2404.02861

Pre-equilibrium Photon and Dilepton Production
We use QCD kinetic theory to compute photon and dilepton production in the chemically equilibrating out-of-equilibrium quark-gluon plasma created in the early stages of high-energy heavy-ion collisions. We derive universal scaling functions for the pre-equilibrium spectra of photons and dileptons. These scaling functions can be used to make realistic predictions for the pre-equilibrium emission and consequently establish the significance of the pre-equilibrium phase for the production of electr…

This https://arxiv.org/abs/2311.11326 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On Pólya's random walk constants
A celebrated result in probability theory is that a simple symmetric random walk on the $d$-dimensional lattice $\mathbb{Z}^d$ is recurrent for $d=1,2$ and transient for $d\geq 3$. In this note, we derive a closed-form expression, in terms of the Lauricella function $F_C$, for the return probability for all $d\geq3$. Previously, a closed-form formula had only been available for $d=3$.

This https://arxiv.org/abs/2402.08709 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Stability analysis of a dark energy model in Rastall gravity
We study a cosmological model in Rastall's theory of gravity in the framework of the flat FLRW metric. We formulate the value of the Hubble parameter, which contains two model parameters, $ α$ and $ j $. Employing the Markov Chain Monte Carlo (MCMC) sampling technique, we determine the values of these model parameters along with their uncertainties. Moreover, we derive the equation of state (EoS) parameter, which converges around the quintessence region. We perform a dynamical system analysis …

This https://arxiv.org/abs/2312.03909 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Thermodynamic Bethe Ansatz and Generalised Hydrodynamics in the sine-Gordon model
We set up a hydrodynamic description of the non-equilibrium dynamics of sine-Gordon quantum field theory for generic coupling. It is built upon an explicit form of the Bethe Ansatz description of general thermodynamic states, with the structure of the resulting coupled integral equations encoded in terms of graphical diagrams. The resulting framework is applied to derive results for the Drude weights of charge and energy. Quantities associated with the charge universally have fractal dependence…

This https://arxiv.org/abs/2401.14224 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the well-posedness of inverse problems under information field theory: application to model-form error detection
We derive conditions in which inverse problems posed under an information field theory (IFT) framework have unique solutions. While the theorems here apply to IFT inverse problems in general, we place a special focus on the problem of identifying model-form error. Due to the continued increase in popularity of physics-informed methods, tools which can validate the form of the physics chosen under a physics-informed framework are desirable. Using IFT, we pose the problem of identifying model-for…

This https://arxiv.org/abs/2312.04824 has been replaced.
initial toot: https://mastoxiv.page/@a…

Analytical model and dynamical phase-field simulation of terahertz transmission across ferroelectrics
We theoretically investigate the steady-state transmission of continuous terahertz (THz) wave across a freestanding ferroelectric slab. Based on the Landau-Ginzburg-Devonshire theory of ferroelectrics and the coupled equations of motion for polarization and electromagnetic (EM) waves, we derive the analytical expressions of the frequency- and thickness-dependent dielectric susceptibility and transmission coefficient at the thin slab limit in the harmonic excitation regime. When the slab thickne…

This https://arxiv.org/abs/2308.11250 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Class fields and form class groups for solving certain quadratic Diophantine equations
Let $K$ be an imaginary quadratic field and $\mathcal{O}$ be an order in $K$. We construct class fields associated with form class groups which are isomorphic to certain $\mathcal{O}$-ideal class groups in terms of the theory of canonical models due to Shimura. As its applications, by using such class fields, for a positive integer $n$ we first find primes of the form $x^2+ny^2$ with additional conditions on $x$ and $y$. Second, by utilizing these form class groups, we derive a congruence relat…

This https://arxiv.org/abs/2312.08630 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nuc…

Pseudo-neutrino versus recoil formalism for 4-body phase space and applications to nuclear decay
It is well-known that the traditional treatment of radiative corrections that utilizes the "true" neutrino momentum $\vec{p}_ν$ in the differential decay rate formula could lead to a $\sim α/π$ systematic error in certain observables due to the mistreatment of 4-body kinematics. We investigate the theory structure of one of the proposed solutions, the "$ν'$-formalism", in the non-recoil limit appropriate for neutron and nuclear beta decays. We derive an elegant master formula for the 4-body…

Machine Learning of the Prime Distribution
Alexander Kolpakov, Aidan Rocke
https://arxiv.org/abs/2403.12588 https://arxiv.org/pdf/240…

Machine Learning of the Prime Distribution
In the present work we use maximum entropy methods to derive several theorems in probabilistic number theory, including a version of the Hardy-Ramanujan Theorem. We also provide a theoretical argument explaining the experimental observations of Y.-H. He about the learnability of primes, and posit that the Erdős-Kac law would very unlikely be discovered by current machine learning techniques. Numerical experiments that we perform corroborate our theoretical findings.

This https://arxiv.org/abs/2404.19423 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Thermodynamics of charged Lifshitz black holes with scalar hair
In this work, we discuss the generalized Einstein-Maxwell-Dilaton gravity theory with a nonminimal coupling between the Maxwell field and scalar field. Considering different geometric properties of black hole horizon structure, the charged dilaton Lifshitz black hole solutions are presented in 4-dimensional spacetimes. Later, utilizing the Wald Formalism, we derive the thermodynamic first law of black hole and conserved quantities. According to the relationship between the heat capacity and the…

No time to derive: unraveling total time derivatives in in-in perturbation theory
Matteo Braglia, Lucas Pinol
https://arxiv.org/abs/2403.14558 https://

No time to derive: unraveling total time derivatives in in-in perturbation theory
The in-in formalism provides a way to systematically organize the calculation of primordial correlation functions. Although its theoretical foundations are now firmly settled, the treatment of total time derivative interactions, incorrectly trivialized as ``boundary terms'', has been the subject of intense discussions and conceptual mistakes. In this work, we demystify the use of total time derivatives -- as well as terms proportional to the linear equations of motion -- and show that they can …

When Representations Align: Universality in Representation Learning Dynamics
Loek van Rossem, Andrew M. Saxe
https://arxiv.org/abs/2402.09142 https://

When Representations Align: Universality in Representation Learning Dynamics
Deep neural networks come in many sizes and architectures. The choice of architecture, in conjunction with the dataset and learning algorithm, is commonly understood to affect the learned neural representations. Yet, recent results have shown that different architectures learn representations with striking qualitative similarities. Here we derive an effective theory of representation learning under the assumption that the encoding map from input to hidden representation and the decoding map fro…

This https://arxiv.org/abs/2308.05310 has been replaced.
initial toot: https://mastoxiv.page/@a…

Self-consistent convolutional density functional approximations: Application to adsorption at metal surfaces
The exchange-correlation (XC) functional in density functional theory is used to approximate multi-electron interactions. A plethora of different functionals is available, but nearly all are based on the hierarchy of inputs commonly referred to as "Jacob's ladder." This paper introduces an approach to construct XC functionals with inputs from convolutions of arbitrary kernels with the electron density, providing a route to move beyond Jacob's ladder. We derive the variational derivative of thes…

Linear dynamics and classical tests of the gravitational quantum field theory
Yuan-Kun Gao, Da Huang, Yong-Liang Ma, Yong Tang, Yue-Liang Wu, Yu-Feng Zhou
https://arxiv.org/abs/2403.17619

Linear dynamics and classical tests of the gravitational quantum field theory
We explore the new physics phenomena of gravidynamics governed by the inhomogeneous spin gauge symmetry based on the gravitational quantum field theory. Such a gravidynamics enables us to derive the generalized Einstein equation and an equation beyond it. To simplify the analyses, we linearize the dynamic equations of gravitational interaction by keeping terms up to the leading order in the dual gravigauge field. We then apply the linearized dynamic equations into two particular gravitational p…

This https://arxiv.org/abs/2308.02928 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Causal and stable first-order chiral hydrodynamics
We derive the set of inequalities that is necessary and sufficient for nonlinear causality and linear stability of first-order relativistic hydrodynamics with either a $U(1)_V$ conserved current or a $U(1)_A$ current with a chiral anomaly or both. Our results apply to generic hydrodynamic frames in which no relations among the transport parameters are imposed. Furthermore, our analysis yields, to the best of our knowledge, the first theory of viscous chiral hydrodynamics proven to be causal and…

This https://arxiv.org/abs/2308.11250 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Class fields and form class groups for solving certain quadratic Diophantine equations
Let $K$ be an imaginary quadratic field and $\mathcal{O}$ be an order in $K$. We construct class fields associated with form class groups which are isomorphic to certain $\mathcal{O}$-ideal class groups in terms of the theory of canonical models due to Shimura. As its applications, by using such class fields, for a positive integer $n$ we first find primes of the form $x^2+ny^2$ with additional conditions on $x$ and $y$. Second, by utilizing these form class groups, we derive a congruence relat…

Statistical Inference of Optimal Allocations I: Regularities and their Implications
Kai Feng, Han Hong
https://arxiv.org/abs/2403.18248 https://

Statistical Inference of Optimal Allocations I: Regularities and their Implications
In this paper, we develp a functional differentiability approach for solving statistical optimal allocation problems. We first derive Hadamard differentiability of the value function through a detailed analysis of the general properties of the sorting operator. Central to our framework are the concept of Hausdorff measure and the area and coarea integration formulas from geometric measure theory. Building on our Hadamard differentiability results, we demonstrate how the functional delta method …

Random Matrix Theory Approach to Quantum Fisher Information in Quantum Many-Body Systems
Venelin P. Pavlov, Yoana R. Chorbadzhiyska, Charlie Nation, Diego Porras, Peter A. Ivanov
https://arxiv.org/abs/2402.09029

Random Matrix Theory Approach to Quantum Fisher Information in Quantum Many-Body Systems
We theoretically investigate parameter quantum estimation in quantum chaotic systems. Our analysis is based on an effective description of non-integrable quantum systems in terms of a random matrix Hamiltonian. Based on this approach we derive an analytical expression for the time evolution of the quantum Fisher information. We test our random matrix theory prediction with the exact diagonalization of a non-integrable spin system, focusing on the estimation of a local magnetic field by measurem…

This https://arxiv.org/abs/2401.04715 has been replaced.
initial toot: https://mastoxiv.page/@a…

An Effective Theory for Graphene Nanoribbons with Junctions
Graphene nanoribbons are a promising candidate for fault-tolerant quantum electronics. In this scenario, qubits are realised by localised states that can emerge on junctions in hybrid ribbons formed by two armchair nanoribbons of different widths. We derive an effective theory based on a tight-binding ansatz for the description of hybrid nanoribbons and use it to make accurate predictions of the energy gap and nature of the localisation in various hybrid nanoribbon geometries. We use quantum Mo…

This https://arxiv.org/abs/2311.00672 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Polarized fragmenting jet functions in Inclusive and Exclusive Jet Production
In this work, we present a complete theoretical framework for analyzing the distribution of polarized hadrons within jets, with and without measuring the transverse momentum relative to the standard jet axis. Using soft-collinear effective theory (SCET), we derive the factorization and provide the theoretical calculation of both semi-inclusive and exclusive fragmenting jet functions (FJFs) under longitudinal and transverse polarization. With the polarized FJFs, one gains access to a variety of …

This https://arxiv.org/abs/2312.17557 has been replaced.
link: https://scholar.google.com/scholar?q=a

A study of form factors in relativistic mixed-flux AdS_3
We study the two-particle form-factors for the relativistic limit of the integrable S-matrix of the mixed-flux AdS_3 X S^3 X T^4 string theory. The S-matrix theory was formally constructed in two distinct ways by two different teams. We focus on the massive theory built up by Frolov, Polvara and Sfondrini, and derive expressions for the minimal solutions to the axioms, in both integral and manifestly meromorphic form, and then proceed to apply the off-shell Bethe ansatz method of Babujian et al…

This https://arxiv.org/abs/2401.00339 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Cylindrical Gravitational Waves in Einstein-Aether Theory
Along the lines of the Einstein-Rosen wave equation of General Relativity (GR), we derive a gravitational wave equation with cylindrical symmetry in the Einstein-aether (EA) theory. We show that the gravitational wave in the EA is periodic in time for both the metric functions $Ψ(r,t)$ and $H(r,t)$. However, in GR, $Ψ(r,t)$ is periodic in time, but $H(r,t)$ is semi-periodic in time, having a secular drifting in the wave frequency. The evolution of wave pulses of a given width is entirely diff…

From the Conformal Anomaly to the Virasoro Algebra
Sid Maibach, Eveliina Peltola
https://arxiv.org/abs/2403.09628 https://arxiv.org/p…

From the Conformal Anomaly to the Virasoro Algebra
The conformal anomaly and the Virasoro algebra are fundamental aspects of 2D conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one-dimensional vector spaces associated to Riemann surfaces with analytically parametrized boundary components. Here, analytical orientation-preserving diffeomorphisms and deformations of the cir…

This https://arxiv.org/abs/2308.05310 has been replaced.
initial toot: https://mastoxiv.page/@a…

Self-consistent convolutional density functional approximations: Application to adsorption at metal surfaces
The exchange-correlation (XC) functional in density functional theory is used to approximate multi-electron interactions. A plethora of different functionals is available, but nearly all are based on the hierarchy of inputs commonly referred to as "Jacob's ladder." This paper introduces an approach to construct XC functionals with inputs from convolutions of arbitrary kernels with the electron density, providing a route to move beyond Jacob's ladder. We derive the variational derivative of thes…

Induced moduli oscillation by radiation and space expansion in a higher-dimensional model
Hajime Otsuka, Yutaka Sakamura
https://arxiv.org/abs/2402.15547 h…

Induced moduli oscillation by radiation and space expansion in a higher-dimensional model
We investigate the cosmological expansion of the 3D space in a 6D model compactified on a sphere, beyond the 4D effective theory analysis. We focus on a case that the initial temperature is higher than the compactification scale. In such a case, the pressure for the compact space affects the moduli dynamics and induces the moduli oscillation even if they are stabilized at the initial time. Under some plausible assumptions, we derive the explicit expressions for the 3D scale factor and the modul…

Kinetic theory of vacuum pair production in uniform electric fields revisited
I. A. Aleksandrov, A. Kudlis, A. I. Klochai
https://arxiv.org/abs/2403.17204 …

Kinetic theory of vacuum pair production in uniform electric fields revisited
We investigate the phenomenon of electron-positron pair production from vacuum in the presence of a uniform time-dependent electric field of arbitrary polarization. Taking into account the interaction with the external classical background in a nonperturbative manner, we quantize the electron-positron field and derive a system of ten quantum kinetic equations (QKEs) showing that the previously-used QKEs are incorrect once the external field rotates in space. We employ then the Wigner-function f…

Statistical Inference of Optimal Allocations I: Regularities and their Implications
Kai Feng, Han Hong
https://arxiv.org/abs/2403.18248 https://

Statistical Inference of Optimal Allocations I: Regularities and their Implications
In this paper, we develp a functional differentiability approach for solving statistical optimal allocation problems. We first derive Hadamard differentiability of the value function through a detailed analysis of the general properties of the sorting operator. Central to our framework are the concept of Hausdorff measure and the area and coarea integration formulas from geometric measure theory. Building on our Hadamard differentiability results, we demonstrate how the functional delta method …

Induced moduli oscillation by radiation and space expansion in a higher-dimensional model
Hajime Otsuka, Yutaka Sakamura
https://arxiv.org/abs/2402.15547 h…

Induced moduli oscillation by radiation and space expansion in a higher-dimensional model
We investigate the cosmological expansion of the 3D space in a 6D model compactified on a sphere, beyond the 4D effective theory analysis. We focus on a case that the initial temperature is higher than the compactification scale. In such a case, the pressure for the compact space affects the moduli dynamics and induces the moduli oscillation even if they are stabilized at the initial time. Under some plausible assumptions, we derive the explicit expressions for the 3D scale factor and the modul…

Kinetic theory of vacuum pair production in uniform electric fields revisited
I. A. Aleksandrov, A. Kudlis, A. I. Klochai
https://arxiv.org/abs/2403.17204 …

Kinetic theory of vacuum pair production in uniform electric fields revisited
We investigate the phenomenon of electron-positron pair production from vacuum in the presence of a uniform time-dependent electric field of arbitrary polarization. Taking into account the interaction with the external classical background in a nonperturbative manner, we quantize the electron-positron field and derive a system of ten quantum kinetic equations (QKEs) showing that the previously-used QKEs are incorrect once the external field rotates in space. We employ then the Wigner-function f…

This https://arxiv.org/abs/2307.13374 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Classical radiation fields for scalar, electromagnetic, and gravitational waves with spacetime-symmetry breaking
An effective field theory framework is used to investigate some Lorentz-violating effects on the generation of electromagnetic and gravitational waves, complementing previous work on propagation. Specifically we find solutions to a modified, anisotropic wave equation, sourced by charge or fluid matter. We derive the radiation fields for scalars, classical electromagnetic radiation, and partial results for gravitational radiation. For gravitational waves, the results show longitudinal and breath…

This https://arxiv.org/abs/2311.15197 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Spin polarization and spin alignment from quantum kinetic theory with self-energy corrections
We derive the quantum kinetic theory for massive fermions with collision terms and self-energy corrections based on quantum field theory. We adopt an effective power counting scheme with $\hbar$ expansion to obtain the leading-order perturbative solutions of the vector and axial Wigner functions and the corresponding kinetic equations. We observe that both the onshell relation and the structure of Wigner functions, along with the kinetic equations, are modified due to the presence of self-energ…

This https://arxiv.org/abs/2402.13835 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Loop equations for generalised eigenvalue models
We derive the loop equation for the 1-matrix model with generic difference-type measure for eigenvalues and develop a recursive algebraic framework for solving it to an arbitrary order in the coupling constant in and beyond the planar approximation. The planar limit is solved exactly for a one-parametric family of models and in the general case at strong coupling. The Wilson loop in the N=2* super-Yang-Mills theory and the Hoppe model are used to illustrate our methods.

This https://arxiv.org/abs/2402.13835 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Loop equations for generalised eigenvalue models
We derive the loop equation for the 1-matrix model with generic difference-type measure for eigenvalues and develop a recursive algebraic framework for solving it to an arbitrary order in the coupling constant in and beyond the planar approximation. The planar limit is solved exactly for a one-parametric family of models and in the general case at strong coupling. The Wilson loop in the N=2* super-Yang-Mills theory and the Hoppe model are used to illustrate our methods.

Computable conditions for order-2 $CP$ symmetry in NHDM potentials
R. Plantey, M. Aa. Solberg
https://arxiv.org/abs/2404.02004 https://

Computable conditions for order-2 $CP$ symmetry in NHDM potentials
We derive necessary and sufficient conditions for order-2 $CP$ ($CP2$) symmetry in $N$-Higgs-doublet potentials for $N>2$. The conditions, which are formulated as relations between vectors that transform under the adjoint representation of $\mathsf{SU}(N)$ under a change of doublet basis, are representation theoretical in nature. Making use of Lie algebra and representation theory we devise an efficient, computable algorithm which may be applied to decide whether or not a given numerical potent…

This https://arxiv.org/abs/2310.04665 has been replaced.
link: https://scholar.google.com/scholar?q=a

AdS$_3$ Einstein Gravity and Boundary Description: Pedagogical Review
We review the various aspects of the 3D Einstein gravity theory with a negative cosmological constant and its boundary description. We also explore its connections to CFTs, modular symmetry, and holography. It is worth noting that this particular theory is topological in nature, which means that all the physical degrees of freedom are located on the boundary. Additionally, we can derive the boundary description on a torus, which takes the form of a 2D Schwarzian theory. This observation suggest…

This https://arxiv.org/abs/2311.14637 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Post Newtonian emission of gravitational waves from binary systems: a gauge theory perspective
We derive a gauge inspired combinatorial formula based on localization for the Post-Newtonian expansion of the gravitational wave form luminosity of binary systems made of objects with very different masses orbiting at large distances and small velocities. The results are tested against previous formulae in the literature for Schwarschild and Kerr black holes at the 5th and 3rd Post Newtonian order respectively beyond the quadrupole approximation. Tidal effects show up in the wave form at the 5…

This https://arxiv.org/abs/2401.09991 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Irrelevant and marginal deformed BMS field theories
In this study, we investigate various deformations within the framework of Bondi-van der Burg-Metzner-Sachs invariant field theory (BMSFT). Specifically, we explore the impact of Bondi-van der Burg-Metzner-Sachs (BMS) symmetry on the theory by introducing key deformations, namely, $T \overline{T}$, $JT_μ$, and $\sqrt{T \overline{T}}$ deformations. In the context of generic seed theories possessing BMS symmetry, we derive the first-order correction of correlation functions using the systematic …

This https://arxiv.org/abs/2402.02565 has been replaced.
link: https://scholar.google.com/scholar?q=a

Spatially covariant gravity with nonmetricity
Scalar fields play an important role in constructing modified gravity theories. In the case of a single scalar field with timelike gradient, the corresponding Lagrangian in the unitary gauge takes the form of spatially covariant gravity (SCG), which is proved useful in analyzing and extending the generally covariant theories. In this work, we apply the SCG method to the scalar-nonmetricity theory, of which the Lagrangian is built of the nonmetricity tensor and a scalar field. We derive the 3+1 …

This https://arxiv.org/abs/2401.10332 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Entanglement Entropy in Scalar Quantum Electrodynamics
We find the entanglement entropy of a subregion of the vacuum state in scalar quantum electrodynamics, working perturbatively to the 2-loops level. Doing so leads us to derive the Maxwell-Proca propagator in conical Euclidean space. The area law of entanglement entropy is recovered in both the massive and massless limits of the theory, as is expected. These results yield the renormalisation group flow of entanglement entropy, and we find that loop contributions suppress entanglement entropy. We…

Einstein-Hilbert gravity, higher derivatives and a scalar matter field
Klaus Sibold
https://arxiv.org/abs/2405.00528 https://arxiv.or…

Einstein-Hilbert gravity, higher derivatives and a scalar matter field
The present paper extends two previous one's on pure gravity dealing with Einstein-Hilbert and higher derivatives by including a massless scalar field as representative of matter. We study the renormalization to all orders of perturbation theory, provide the Slavnov-Taylor identity, symmetric partial differential equations and derive finiteness properties in the Landau gauge. It is shown that beginning with one-loop negative norm states originating from higher derivatives disappear.

Analytical calculation of Kerr and Kerr-Ads black holes in $f(R)$ theory
Ping Li, Yong-qiang Liu, Jiang-he Yang, Siwei Xu, Xiang-hua Zhai
https://arxiv.org/abs/2404.11975

Analytical calculation of Kerr and Kerr-Ads black holes in $f(R)$ theory
In this paper, we extend Chandrasekhar's method of calculating rotating black holes into $f(R)$ theory. We consider the Ricci scalar is a constant and derive the Kerr and Kerr-Ads metric by using the analytical mathematical method. Suppose that the spacetime is a 4-dimensional Riemannian manifold with a general stationary axisymmetric metric, we calculate Cartan's equation of structure and derive the Einstein tensor. In order to reduce the solving difficulty, we fix the gauge freedom to transfo…

This https://arxiv.org/abs/2402.11016 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Holographic phenomenology via overlapping degrees of freedom
The holographic principle suggests that regions of space contain fewer physical degrees of freedom than would be implied by conventional quantum field theory. Meanwhile, in Hilbert spaces of large dimension $2^n$, it is possible to define $N \gg n$ Pauli algebras that are nearly anti-commuting (but not quite) and which can be thought of as "overlapping degrees of freedom". We propose to model the phenomenology of holographic theories by allowing field-theory modes to be overlapping, and derive …

This https://arxiv.org/abs/2312.07677 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Schrödinger evolution of a scalar field in Riemannian and pseudoRiemannian expanding metrics
We study the quantum field theory (QFT) of a scalar field in the Schrödinger picture in the functional formulation. We derive a formula for the evolution kernel in a flat expanding metric. We discuss a transition between Riemannian and pseudoRiemannian metrics (signature inversion). We express the real time Schrödinger evolution by the Brownian motion . We discuss the Feynman integral for a scalar field in a radiation background. We show that the unitary Schrödinger evolution for positive …

Asymptotic behavior of angular integrals in the massless limit
Fabian Wunder
https://arxiv.org/abs/2403.09773 https://arxiv.org/pdf/2…

Asymptotic behavior of angular integrals in the massless limit
We investigate the small-mass asymptotics of a class of massive $d$ dimensional angular integrals. These integrals arise in a wide range of perturbative quantum field theory calculations. We derive expressions characterizing their behavior in the vicinity of the massless limit for all cases with up to two denominators. The results established in this work are applicable to phase-space calculations where an integration over virtuality including the massless limit is required.

This https://arxiv.org/abs/2311.04090 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Enhanced power spectra from multi-field inflation
We investigate the enhancement of the power spectra in models with multiple scalar fields large enough to produce primordial black holes. We present analytic solutions for the perturbations in the case of constant turns without the need for an effective field theory for the first time and clarify the role of the Hubble friction that has been overlooked previously. For an arbitrary number of fields we derive the criteria that can lead to an exponential amplification of the curvature perturbation…

An improved light-cone harmonic oscillator model for the $\phi$-meson longitudinal leading-twist light-cone distribution amplitude
Dan-Dan Hu, Xing-Gang Wu, Long Zeng, Hai-Bing Fu, Tao Zhong
https://arxiv.org/abs/2403.10003

An improved light-cone harmonic oscillator model for the $ϕ$-meson longitudinal leading-twist light-cone distribution amplitude
In the present paper, we study the properties of $ϕ$-meson longitudinal leading-twist light-cone distribution amplitude $ϕ_{2;ϕ}^{\|}(x,μ)$ by starting from a light-cone harmonic oscillator model for its wavefunction. To fix the input parameters, we derive the first ten $ξ$-moments of $ϕ_{2;ϕ}^{\|}(x,μ)$ by using the QCD sum rules approach under the background field theory. The shape of $ϕ_{2;ϕ}^{\|}(x,μ=2~{\rm GeV})$ tends to be a single-peak behavior, which is consis…

Soft Scalars in Effective Field Theory
Maria Derda, Andreas Helset, Julio Parra-Martinez
https://arxiv.org/abs/2403.12142 https://arx…

Soft Scalars in Effective Field Theory
We derive a soft theorem for a massless scalar in an effective field theory with generic field content using the geometry of field space. This result extends the geometric soft theorem for scalar effective field theories by allowing the massless scalar to couple to other scalars, fermions, and gauge bosons. The soft theorem keeps its geometric form, but where the field-space geometry now involves the full field content of the theory. As a bonus, we also present novel double soft theorems with f…

This https://arxiv.org/abs/2312.14921 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

The giant graviton expansion in $AdS_5 \times S^5$
The superconformal index of $\frac12$-BPS states of $N=4$ U(N) super Yang-Mills theory has a known infinite $q$-series expression with successive terms suppressed by $q^N$. We derive a holographic bulk interpretation of this series by evaluating the corresponding functional integral in the dual $AdS_5 \times S^5$. The integral localizes to a product of small fluctuations of the vacuum and of the collective modes of an arbitrary number of giant-gravitons wrapping an $S^3$ of maximal size inside …

This https://arxiv.org/abs/2311.03773 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Near horizon linearized gravity and soft theorem
In this paper, we study the linearized gravity theory in the near horizon region of the Schwarzschild black hole in four dimensional spacetime. Under the Newman-Unti gauge, we derive the most general near horizon symmetry and solution space without any near horizon fall-off condition. There are four towers of surface charges that are generic functions on the horizon associated to the near horizon symmetry. With suitable near horizon fall-off conditions, we reveal a soft graviton theorem from th…

This https://arxiv.org/abs/2309.15584 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Nonperturbative aspects of two-dimensional $T\bar{T}$-deformed scalar theory from functional renormalization group
We study $T\bar{T}$-deformed $O(N)$ scalar field theory in two-dimensional spacetime using the functional renormalization group. We derive the $β$ functions for the couplings in the system and explore the fixed points. In addition to the Gaussian (trivial) fixed point, we find a nontrivial fixed point at which a new universality class exists. The deformation parameter becomes relevant at the nontrivial fixed point. Therefore, the $T\bar T$-deformed scalar field theory in two-dimensional spacet…