1605 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 presents an information-theoretic analysis of the isotropic Dunkl oscillator in spherical coordinates by deriving exact analytical expressions for various quantum information measures and their relative divergences, demonstrating how reflection operators and Dunkl parameters influence these quantities while recovering standard results in the limit of vanishing parameters.
This paper establishes limit theorems for the number of walks and triangles in Erdős-Rényi random graphs with large interaction radii by deriving cumulant expansions associated with tree-type diagrams, identifying a threshold between normal and Poisson distributions for triangles, and demonstrating that the total number of triangles can grow infinitely while the average vertex degree remains bounded.
This paper investigates the applicability of velocity averaging theorems to the Wigner kinetic equation in the semiclassical regime, establishing Sobolev regularity for mixed states in one dimension while demonstrating the failure of averaging for pure states and utilizing this limitation to derive Madelung's quantum hydrodynamic equations.
This paper utilizes a formula by Dubrovin and Yang to derive the large genus asymptotics of GUE correlators, specifically for enumerating ordinary graphs and ribbon graphs with a single face.
This paper identifies and characterizes "eversion buckling" in toroidal shells as a pitchfork-type bifurcation mechanism that enables the design of omnidirectional, high-efficiency energy-absorbing granular systems with stable stress plateaus.
This paper presents an exact analytical solution for electron dynamics in a plane electromagnetic wave by incorporating a Gaunt-factor-modified quantum radiation reaction into the Landau-Lifshitz equation, demonstrating that the system retains its classical integrability and yields a deterministic description of semiclassical energy evolution.
This paper demonstrates that free and interacting many-body systems can be isospectral yet exhibit fundamentally distinct phase structures and operator complexity dynamics, linked by a nonlocal unitary transformation that maps local operators to extended many-body strings.
This paper establishes conditions under which translation-invariant Gaussian quantum cellular automata drive locally normal many-body bosonic lattice states with bounded particle density toward thermalization at infinite temperature, utilizing a novel many-body generalization of the Riemann-Lebesgue lemma to bound local Weyl operator expectations.
This paper establishes a geometric framework for the BV-BRST quantization of 2-form gauge fields by utilizing Lie 2-algebroids and exact Courant algebroids derived from gerbe data, thereby naturally encoding the field-ghost tower and providing a setting for anomaly descent in 1-form symmetries.
This paper establishes a construction of supersymmetric vertex algebras from supersymmetric factorization algebras on super Riemann surfaces, demonstrating how the holomorphic sigma model in the BV formalism yields the chiral de Rham complex and its higher supersymmetric enhancements for Ricci-flat Kähler and hyperkähler targets.