3210 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 rigorously constructs the Bethe vacua and modular data for Haagerup–Izumi doubles from hyperbolic words describing once-punctured torus monodromies, thereby confirming the Evans–Gannon conjecture, correcting existing tables, and linking these results to the topological twists of rank-0 -fold theories via handle-gluing operators and central charge formulas.
This paper derives and validates analytical solutions for coupled Klein-Gordon equations in cosmology under small-field excursions, demonstrating that the system can be solved using Kummer's hypergeometric limit function and confirming these results through numerical calculations.
This paper establishes the Labastida–Mariño–Ooguri–Vafa conjecture for oriented links with arbitrary integer framings, thereby proving that their framed reformulated invariants admit finite integral LMOV expansions.
This paper establishes a correspondence between the existence of smooth strictly calibrated solutions to a rank-four deformed Hermitian–Yang–Mills equation on and the stability conditions of an associated three-block quiver chain, proving that such solutions exist if and only if the defining linear maps satisfy specific invertibility and non-degeneracy criteria.
This paper establishes the first superdiffusive invariance principle for the two-dimensional Asymmetric Simple Exclusion Process at criticality, proving that density fluctuations converge to a conservative stochastic heat equation under anisotropic scaling with logarithmic corrections, while also deriving the exact prefactor for bulk diffusivity divergence and a superdiffusive central limit theorem for second-class particles.
This paper introduces a new pre-Lie algebra within the framework of symplectic groupoids to utilize Butcher trees for computing Hamilton-Jacobi solutions, thereby providing algebraic tools for approximating Lagrangian bisections and defining a novel class of Poisson integrators for Hamiltonian dynamics.
This paper introduces a solvable "boundary scrambling" model that analytically describes the full dynamics of higher-order out-of-time-order correlation functions through free cumulants and a higher-order Markovian influence matrix, thereby unifying extensions of the eigenstate thermalization hypothesis with random quantum circuit predictions.
This paper introduces tropical quantum field theory as an exactly solvable deformation of ordinary QFT, using the two-dimensional sine-Gordon model to demonstrate that scale-invariant theories with periodic actions are infrared fixed points of sine-Gordon flows, while providing exact -functions, complete renormalization group solutions, and a connection between large-order loop behavior and tropical instantons via the Hamilton-Jacobi equation.
This paper introduces an adaptive Dyson expansion method that derives Hamiltonian-independent Lieb-Robinson bounds for a broad class of time-dependent and irreversible quantum spin dynamics by expanding commutators into self-avoiding paths without requiring backwards time evolution.
This paper introduces a Sklar-type decomposition for strictly positive multivariate binary distributions that uniquely separates one-body marginals from a dependence nucleus characterized by higher-order Walsh log-linear coefficients, providing a Gibbs interpretation where these coefficients represent many-body interaction couplings.