3366 papers
Mathematical physics sits at the fascinating intersection where abstract equations meet the fundamental laws of our universe. This field uses rigorous mathematical tools to model everything from the behavior of subatomic particles to the curvature of spacetime, turning complex theories into testable predictions. It is the language through which physicists describe reality, bridging the gap between pure mathematics and physical observation.
On Gist.Science, we process every new preprint published in this category on arXiv to make these dense studies accessible to everyone. Whether you are a specialist or a curious reader, you will find both plain-language overviews and detailed technical summaries for each paper. Below are the latest mathematical physics papers from arXiv, curated to help you explore the cutting edge of theoretical science.
This paper proves that the standard Galilean Haag--Kastler axioms, when augmented by Bargmann mass superselection, are fundamentally incompatible with the Reeh--Schlieder property, thereby establishing a definitive structural distinction between relativistic and Galilean algebraic quantum field theories.
This paper extends the known absence of Reeh-Schlieder and Tomita-Takesaki modular flow in Galilean algebraic quantum field theory to curved Newton-Cartan backgrounds by demonstrating that the limit of the free Klein-Gordon field yields a Galilean net where the gravitational potential influences the Hamiltonian but fails to restore the modular structure obstructed by the Bargmann central charge.
This paper establishes central limit theorems for the linear eigenvalue statistics of various random matrix models with exploding moments, including elliptic, centrosymmetric, circulant, and inter-correlated block matrices, by utilizing an asymptotic Wick formula.
This paper demonstrates that the associativity condition of the universal symmetric 2-valued group defined by the Buchstaber polynomial unifies diverse mathematical fields by revealing its equivalence to the Chazy equation, Gauss-Manin connections, Dubrovin-Frobenius structures, and the quantum Yang-Baxter equation.
This paper establishes that the renormalized stress-energy tensor of a massless scalar field in a collapsing null-shell spacetime approaches the Unruh state with a non-zero power-law tail at late times, a result driven by the branch-point singularity in the radial wave equation's Wronskian and confirmed by both analytical bounds and numerical data.
This paper employs Liu's method of multipliers to derive thermodynamically consistent constitutive models for Korteweg fluids, successfully incorporating temperature-dependent capillary effects and cross-coupling between mechanical and thermal phenomena while establishing a generalized Gibbs relation.
This paper presents a unified replica-based framework to analytically characterize the largest eigenvalue and the geometric structure of the top eigenvector for large Euclidean random matrices with quadratic kernels, deriving explicit expressions confirmed by numerical simulations.
This article employs Sbierski's more recent -inextendibility techniques to prove that a certain class of spatially flat FLRW spacetimes without particle horizons cannot be extended as manifolds.
This article generalizes previous findings on resonating valence bond ground states by analytically solving the simplest hole-doped Hubbard model on a quasi-one-dimensional tetrahedral chain and demonstrating the existence of exponentially degenerate partial RVB or dimer-monomer ground states in which each tetrahedron hosts a spin-1/2 monomer and a spin-0 dimer.
This paper introduces a theoretically grounded, Python-implemented framework that translates Dirac notation into weighted model counting (WMC) instances, enabling the systematic application of automated reasoning heuristics to calculate partition functions for diverse quantum and classical physical models.