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 establishes the exact non-thermal asymptotic dynamics of a time-dependent higher-spin Richardson-Gaudin model, demonstrating that its behavior fundamentally differs from the spin-1/2 case by requiring independent treatment for each spin size and defying standard Generalized Gibbs Ensemble descriptions, while confirming the exactness of mean-field theory for local observables.
This paper develops a bornological framework to remove the discreteness condition in Costello and Gwilliam's extraction of vertex algebras from prefactorization algebras, demonstrating that the enveloping vertex algebra of a Lie conformal algebra arises naturally from a factorization envelope and extending this construction to various superalgebras.
Using analytic bootstrap methods, this paper characterizes reflecting boundaries in critical loop models with a single complex parameter, derives their disc 1-point functions, and provides an explicit formula for disc 2-point functions as infinite combinations of conformal blocks.
This paper proves blue percolation in the Chayes-Machta-Redner representation of the zero-field Edwards-Anderson spin glass for high finite dimensions, providing asymptotic onset results, a computer-assisted certificate for dimension 22, and establishing a percolating regime with equal infinite-sector densities and finite susceptibility, while noting that proving persistent density imbalance to confirm distinct Gibbs states remains an open problem.
This paper demonstrates that attempting to deduce weighted Hardy inequalities from visible boundary segments is fundamentally limited because such "straight" visible sets are inherently rectifiable and lack the necessary high-dimensional Hausdorff content, unlike more general curve-based visible boundaries.
This paper presents a unified algebraic framework based on -deformed oscillators that demonstrates how various single-mode and two-mode spin-boson transformations arise as different factorizations of a common algebraic structure, thereby distinguishing exact algebraic content from non-Hermitian effects and metric choices while generating new bosonic representations.
This paper establishes that directed distances in spanning-tree-decorated planar maps scale as and converge to a -stable Lévy process, thereby determining the scaling dimension for a hypothetical directed version of the -Liouville quantum gravity metric and extending these universality results to related random planar map models.
This paper develops a distributional fractal Taylor series representation for generalized fractal strings by expressing their explicit formulas in terms of fractional distributional derivatives of the Dirac delta function, thereby characterizing fractals through their underlying complex dimensions under specific languidity assumptions.
By applying interaction renormalization from quantum field theory to the Hasegawa-Wakatani model, this paper demonstrates that E×B plasma staircases are stable only when the nonadiabaticity parameter exceeds a critical value of , below which the system becomes unstable and expands radially.
This paper demonstrates that in the FPUT -model with small total energy independent of particle number, energy initially confined to low-frequency modes remains localized within those modes for exceptionally long times, a result proven by exploiting the Flaschka integrals of the closely related Toda lattice without relying on action-angle variables.