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The Volume-Renormalized Mass from a Hamiltonian Perspective
Mattias Dahl, Klaus Kroencke, Stephen McCormick
https://arxiv.org/abs/2506.11841 https://

The Volume-Renormalized Mass from a Hamiltonian Perspective
We demonstrate that the volume-renormalized mass for asymptotically hyperbolic manifolds recently introduced by the authors can be deduced from a reduced Hamiltonian perspective. In order to do this, we first use Michel's formalism of mass invariants to extend the definition of the volume-renormalized mass to initial data sets. We consider spacetimes that are foliated by asymptotically Poincaré--Einstein Riemannian manifolds in the spirit of the Milne model of cosmology and reduce the ADM Ha…

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Fermion masses and mixings in supersymmetric SO(10)
Shaikh Saad, Qaisar Shafi
https://arxiv.org/abs/2506.11806 https://arxiv.org/pdf/…

Fermion masses and mixings in supersymmetric SO(10)
We discuss the charged and neutral fermion masses and mixings in a supersymmetric SO(10) model with a minimal Higgs sector consisting of the multiplets $10_H$, $45_H$, and $16_H + \overline{16}_H$. In addition to the renormalizable Yukawa couplings involving the Higgs 10-plet, we include non-renormalizable Yukawa couplings, which are important for reproducing with good accuracy the observed masses and mixings in the quark and lepton sectors. We identify a preferred solution which is compatible …

The Central Emission Vertex of two gravitons
Damiano Barcaro, Vittorio Del Duca
https://arxiv.org/abs/2506.11822 https://arxiv.org/pd…

The Central Emission Vertex of two gravitons
It has recently been shown that there exists an $s$-channel sequence of classical corrections to the $H$ diagram computed long ago by Amati, Ciafaloni and Veneziano. At leading logarithmic accuracy, those corrections feature the gravity BFKL kernel as a crucial element, and may be computed through either rapidity renormalisation group equations or amplitudes built through $s$-channel unitarity cuts. In this paper, we evaluate six-graviton amplitudes in next-to-multi-Regge kinematics, and comput…

Thermal scalar field stress tensor on a two dimensional black hole and its near horizon properties
Saurav Samanta, Bibhas Ranjan Majhi
https://arxiv.org/abs/2507.11174

Thermal scalar field stress tensor on a two dimensional black hole and its near horizon properties
We calculate the thermal renormalized energy-momentum tensor components of a massless scalar field, leading to trace anomaly, on a $(1+1)$ dimensional static black hole spacetime. Using these, the energy density and flux, seen by both static and freely-falling observers, are evaluated. Interestingly for both these observers the aforementioned quantities in Unruh and Boulware vacua are finite at the horizon when the scalar field is in thermal equilibrium with the horizon temperature (given by th…

Geometric Criticality in Scale-Invariant Networks
Lorenzo Lucarini, Giulio Cimini, Pablo Villegas
https://arxiv.org/abs/2507.11348 https://

Geometric Criticality in Scale-Invariant Networks
Dimension in physical systems determines universal properties at criticality. Yet, the impact of structural perturbations on dimensionality remains largely unexplored. Here, we characterize the attraction basins of structural fixed points in scale-invariant networks from a renormalization group perspective, demonstrating that basin stability connects to a structural phase transition. This topology-dependent effect, which we term geometric criticality, triggers a geometric breakdown hereto unkno…

Renormalization of bosonic quadratic Hamiltonians involving rank-one perturbations
Thomas Gamet (UMPA-ENSL)
https://arxiv.org/abs/2506.08590 https://

Renormalization of bosonic quadratic Hamiltonians involving rank-one perturbations
In this article, we study the renormalization of a bosonic quadratic Hamiltonian with an ultraviolet divergence. The Hamiltonian is composed of the sum of a free energy and the square of the smeared field operator. We explicitly diagonalize the Hamiltonian via Bogoliubov transformations, and the diagonalized Hamiltonian is easier to study. We show a renormalization of both the energy and the coupling constant depending on the form factor of the interaction.

Renormalised Models for Variable Coefficient Singular SPDEs
Lucas Broux, Harprit Singh, Rhys Steele
https://arxiv.org/abs/2507.06851 https://arxiv.org/pdf/2507.06851 https://arxiv.org/html/2507.06851
arXiv:2507.06851v1 Announce Type: new
Abstract: In this work we prove convergence of renormalised models in the framework of regularity structures [Hai14] for a wide class of variable coefficient singular SPDEs in their full subcritical regimes. In particular, we provide for the first time an extension of the main results of [CH16, HS24, BH23] beyond the translation invariant setting. In the non-translation invariant setting, it is necessary to introduce renormalisation functions rather than renormalisation constants. We show that under a very general assumption, which we prove covers the case of second order parabolic operators, these renormalisation functions can be chosen to be local in the sense that their space-time dependence enters only through a finite order jet of the coefficient field of the differential operator at the given space-time point. Furthermore we show that the models we construct depend continuously on the coefficient field.
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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…

Phase transition of hot dense QCD Matter from a refined holographic EMD model
Zhibin Li, Fei Wang
https://arxiv.org/abs/2507.09113 https://

Phase transition of hot dense QCD Matter from a refined holographic EMD model
In this study, we begin by delineating the Einstein-Maxwell-Dilaton (EMD) model within the holographic QCD framework and deriving the equation of state through holographic renormalization. Subsequently, we utilize the Wald method to determine the first law of thermodynamics for a five-dimensional black hole, thereby confirming the alignment of our EMD model with the thermodynamics of the grand canonical ensemble in the boundary field theory. By employing the $n-2$ form in the Wald method, we pr…