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 demonstrates that standalone relativistic hydrodynamic effective field theories are inherently acausal and necessitates the inclusion of transient ultraviolet modes to restore causality while preserving the correct late-time hydrodynamic behavior.
This paper presents a unified, probabilistic "black box" proof based on random walk techniques that establishes mean-field near-critical behavior and specific decay rates for the two-point functions of various high-dimensional lattice statistical mechanical models, including self-avoiding walks, percolation, and spin systems.
This paper defines new families of Kuramoto models associated with bounded symmetric domains of types I, II, and III by extending the Watanabe-Strogats construction to these domains and their Bergman-Shilov boundaries, thereby generalizing existing models like the Lohe unitary and spherical models.
This paper analyzes a one-dimensional three-body quantum system with zero-range interactions, demonstrating that for an attractive potential and small mass ratios, the eigenvalues below the essential spectrum follow a specific asymptotic expansion involving Airy function extrema or zeros depending on particle statistics, while also characterizing the system's essential spectrum.
This paper establishes a theoretical framework for identifying non-smooth spectral bifurcations in the interior transmission eigenvalue problem, specializes the analysis to radially symmetric geometries, and validates these findings through a novel adaptive contour eigensolver that accurately tracks eigenvalue trajectories under parameter variation.
This paper solves the Riemann-Hilbert problem for higher-rank Mathieu opers on a twice-punctured sphere by expressing solutions via a non-linear integral equation, thereby proving the Nekrasov-Rosly-Shatashvili conjecture that their generating function matches the Yang-Yang function of the quantum Toda chain and establishing a new variant of the Analytic Langlands Correspondence.
This paper investigates a first boundary value problem for a second-order partial differential equation involving the Prabhakar fractional derivative by constructing an explicit Green's function through a Volterra-type integral equation reduction, thereby deriving a closed-form solution representation and proving its existence and uniqueness.
This paper introduces a quantum Viterbi decoding algorithm for hidden quantum Markov models that optimizes over continuous manifolds of pure quantum effects to achieve a strict quantum advantage in decoding scores over classical strategies, offering a new primitive for quantum sequential decision-making and machine learning.
This didactic article derives Gutzwiller's trace formula from the Feynman path integral to explain how classical periodic orbits determine quantum energy spectra in chaotic systems and their connection to random matrix theory.
This paper establishes the existence of time-periodic weak solutions for a fluid-structure interaction system coupling incompressible Navier-Stokes equations with a nonlinear Koiter plate model by introducing a novel single Leray-Schauder fixed-point strategy that overcomes the convexity limitations of previous two-stage approaches.