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 multispecies boundary-driven harmonic process on a one-dimensional chain, establishing its connection to an integrable open rational Heisenberg spin chain of higher rank through the derivation of R- and K-matrices and the construction of a double-row transfer matrix, while also defining three associated dual models.
This paper presents a Cartesian grid method that reformulates advection-diffusion equations with Robin boundary conditions on moving domains as interface problems, utilizing local interface corrections to achieve a linearly scalable, mesh-independent solver with proven second-order spatial and first-order temporal accuracy.
This paper formulates a "first quantisation" 1-dimensional AKSZ theory on graphs that reproduces the Feynman graphs of a given AKSZ theory by interpreting gauge-fixing choices as Lagrangian submanifolds defining sewing conditions within the BV-BFV formalism, thereby establishing a bridge between the cohomological structure of and a cyclic -algebra in Weinstein's symplectic category.
This paper utilizes the Schwarzian derivative to formulate and solve differential equations that systematically generate, purify, and relate various two-dimensional spacetime subsets exhibiting thermal particle distributions within the framework of quantum field theory in curved spacetime.
This paper investigates the nonlinear stability and instability of steady states for multidimensional compressible Euler-Riesz equations under general pressure laws by employing techniques such as free energy concavity, concentration-compactness, and relative entropy bounds to establish stability results, quantify finite-time behavior, and prove the global existence of spherically symmetric weak solutions.
This paper proves that for classical particles with stable, tempered, and lower-regular pair potentials, if the Lee-Yang zeros of the grand canonical partition function remain bounded away from a real point in the thermodynamic limit, then the thermodynamic limit and differentiation with respect to the chemical potential commute at , ensuring the uniform convergence of all pressure derivatives and the independence of limiting density and particle-number variance from boundary conditions.
This paper introduces a novel optimization framework that jointly designs modular coils and vacuum vessels for stellarators, enabling the first realization of precise snowflake divertors alongside standard X-point and null configurations for next-generation prototypes.
The paper disproves Maxwell's conjecture by presenting a specific configuration of five point charges in Euclidean space that generates 24 non-degenerate critical points in its electrostatic potential, exceeding the conjectured maximum of .
This paper presents a comprehensive computational study of the mod-2 cohomology for all 230 three-dimensional space groups, providing explicit ring presentations and degree- cocycles to establish a framework for identifying Lieb-Schultz-Mattis anomaly candidates via Wyckoff positions and applying these constraints to U(1) quantum spin liquids on the 3D pyrochlore lattice.
This paper reviews the bootstrap approach to exactly solvable two-dimensional conformal field theories without extended chiral symmetry, demonstrating how local conformal symmetry and degenerate fields constrain spectra and correlation functions to yield analytic solutions for theories including Liouville, minimal models, and loop CFTs.