1647 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 applies exact WKB analysis and Borel–Padé resummation of quantum periods to derive high-precision quantization conditions that accurately reproduce the quasinormal mode frequencies of extremal Reissner–Nordström and Kerr black holes.
This paper presents a general formulation of quantum stochastic master equations of jump type that unifies diverse fields such as non-Hermitian evolutions, hybrid systems, and quantum walks by introducing concepts like "typical trajectories" for recursive solution construction and "exclusive probability densities" to characterize jump statistics.
This paper demonstrates that renormalizable interactions of Standard Model particles can be derived solely from quantum principles and Hilbert space representation without assuming gauge invariance, revealing that such interactions naturally possess a hidden, exact gauge symmetry that allows for a consistent description of massive vector bosons without indefinite state spaces or ghosts.
This paper extends combinatorial descriptions of torsion-free toric sheaves to smooth toric Deligne-Mumford stacks of any dimension, explicitly characterizing the fixed point locus of their moduli spaces under torus actions via characteristic functions to facilitate the computation of topological invariants.
This paper systematically generalizes the theory of tensorial free cumulants by linking finite-size group-averaging approaches to asymptotic free probability, extending results to arbitrary fluctuation orders, analyzing distributions with larger invariance groups, and providing explicit cumulant formulae for products and non-trivial Gaussian tensors.
This paper establishes the continuity of the Lyapunov exponent for quasi-periodic cocycles in Gevrey space with subexponential Brjuno class frequencies, though the provided abstract contains a likely typographical error in the condition "provided that ."
This paper classifies low-order conservation law multipliers for a generalized fifth-order Kadomtsev--Petviashvili family using the direct multiplier method, demonstrating that in generic regimes, all multipliers up to second order reduce to a zeroth-order family while identifying specific structural sources for this rigidity.
This paper demonstrates that the derivation of the wave turbulence kinetic equation for the Schrödinger equation fails near self-similar blow-up times, necessitating a replacement with a hierarchy of equations equivalent to a random field governed by a nonlinear non-autonomous Schrödinger equation.
This paper refutes the claim that the Schrödinger equation can be solved exactly using only classical action and fluid density by demonstrating that the authors' derivation contains a foundational error which neglects the quantum potential, thereby reducing their proposed method to a standard semiclassical approximation rather than an exact solution.
This paper demonstrates that two distinct models for environmental monitoring of angular momentum—one based on Lindblad dynamics and the other on iterated phase-space measurements—yield commutative but spectrally different super-operators, revealing that phase-space decoherence and the emergence of classicality via quasiprobability positivity are not equivalent for angular momentum systems.