1695 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 investigates excited-state quantum phase transitions in a three-level Lipkin-Meshkov-Glick model by combining chaos-sensitive measures like the Kullback-Leibler divergence with standard diagnostics to establish a robust framework for analyzing ESQPTs in systems exhibiting mixed regular and chaotic dynamics.
This paper investigates the geometrical properties of light propagation in a (2+1)-dimensional nonlinear electromagnetic medium, deriving wave characteristics and demonstrating that phenomena such as one-way propagation and controlled opacity persist despite dimensional reduction.
This paper establishes quasi-local isoperimetric versions of the positive mass theorem and proves the existence of isoperimetric sets on 3-manifolds with continuous metrics of nonnegative scalar curvature by utilizing a new local weak inverse mean curvature flow with -stable quantitative estimates.
This paper demonstrates that under specific edge weight conditions, the distributions of dimer locations near the right boundary of perfect matchings on rail-yard graphs with alternating left boundary conditions converge to the spectra of independent GUE minor processes, utilizing a new quantitative analysis of a Schur function formula.
This paper introduces the concept of flat extensions for principal connections, linking their existence on trivial bundles over closed 3-manifolds to the vanishing of Chern-Simons invariants, and applies this framework to derive global obstructions for conformal, Lorentzian, and equiaffine immersions of 3-manifolds into Euclidean 4-space.
This paper introduces Combinatorial Mesh Calculus (CMC), a primal and mixed variational framework for modeling transport phenomena on general cell complexes with simple polytope connectivity, which extends Forman's combinatorial differential forms to handle materials with complex internal structures without requiring smooth embeddings or circumcentric duality.
This paper demonstrates that specific correlators in generic one-matrix models define discrete volumes of Riemann surface moduli spaces obeying a discrete Mirzakhani-like recursion, which continuously recovers Kontsevich volumes in a BMN-like limit and yields a discrete -analog of Weil--Petersson volumes for DSSYK, thereby confirming a conjecture by K. Okuyama.
This paper constructs a factorization algebra from a Lie conformal algebra via the factorization envelope, proving its associated vertex algebra is isomorphic to the enveloping vertex algebra, thereby generalizing known constructions for Kac--Moody and Virasoro algebras while extending the framework to superalgebras like Neveu--Schwarz and .
This paper presents a unified Heun-function analysis of the Dirac spinor spectrum in a sine-Gordon soliton background, systematically deriving bound and scattering states through Wronskian-matched solutions that explicitly depend on soliton and fermion mass parameters.
This paper utilizes the diagonal operator ordering technique (DOOT) to construct and analyze Barut-Girardello and Gazeau-Klauder coherent states for the isotonic oscillator, investigating their mathematical properties, quantization, thermal behavior, and Glauber-Sudarshan P-representation.