2548 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 introduces a nonsecular Floquet–Markov generalized master equation in the quasienergy basis to demonstrate that standard time-independent dissipative models fail to accurately capture steady-state populations and emission spectra in strongly driven open quantum systems by incorrectly collapsing drive-induced Floquet transitions into static energy gaps.
This paper establishes a number-of-zeros hierarchy for the stellar distribution of states on the discrete cylinder phase space, revealing that unlike in planar phase space, the wrapped coherent state is the most quantum (possessing infinitely many zeros) and demonstrating that this zero-count hierarchy does not necessarily correlate with the localization of states.
This paper provides a pedagogical review of the mathematical framework of stochastic geometric mechanics, tracing its evolution from deterministic fluid dynamics to stochastic advection by Lie transport (SALT) and its Lagrangian-averaged variant (LA-SALT), ultimately applying these concepts to develop stochastic ocean-atmosphere models that align with Hasselmann's paradigm of separating climate into deterministic and stochastic components.
This paper introduces a CNN2D-ConvGRU framework that efficiently reconstructs full-field phase-field fracture states from sparse, partial measurements with significant computational speedups over traditional finite-element methods, while demonstrating robust scalability to finer spatial resolutions without retraining.
This paper disproves the Lesniewski–Ruskai conjecture regarding the contraction coefficient of monotone Riemannian metrics by presenting a minimal qutrit counterexample using an entanglement-breaking channel, thereby establishing that dimension three is the smallest full matrix algebra where the conjectured identity fails.
This paper establishes that the error in ground-state expectations of local observables caused by truncating interaction tails in gapped quantum lattice systems is controlled by the discarded interaction strength rather than the extensive norm, yielding optimal, size-independent convergence rates that depend on the decay profile of the interactions.
This paper proposes a bootstrap method that derives the bilinear relations of elliptic and -Painlevé equations by analyzing the partition functions of 5d supersymmetric gauge theories on the -background, successfully applying this approach to theories with up to eight fundamental hypermultiplets.
This paper introduces a unified family of geodesic quantum -divergences interpolating between standard and maximal relative modular operators, establishing their data-processing inequalities, characterizing their equality conditions and associated quantum Markov chains, and analyzing their monotonicity, continuity, and information-theoretic interpretations.
This paper establishes a universality theorem demonstrating that a broad class of two-dimensional lattice gauge theories on compact surfaces, driven by conjugation-invariant Lévy processes on compact Lie groups, converge to a unique continuum Markovian holonomy process, thereby unifying models like Yang-Mills, Villain, Wilson, and Manton under a single gauge-theoretic invariance principle.
This paper investigates the equilibrium configuration and linear perturbations of a Lorentz-violating bumblebee vector field on a fixed Schwarzschild background, deriving parameter bounds for real and finite solutions while characterizing the behavior of monopole and multipole perturbations near the event horizon and at spatial infinity.