3366 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 investigates how different mathematical forms of the kinetic energy operator affect the energy spectra of double heterostructures with position-dependent effective mass, utilizing both analytical transcendental equations and reflection coefficient pole analysis to critically evaluate the relevance of various operators.
This paper proposes a unified framework of four magnetization state definitions—ranging from intrinsic material properties to motor-level electrical quantities—to bridge the gap between material characterization and performance evaluation in variable flux motors using low coercive force magnets.
This paper investigates how dissipation and toroidal geometry influence the motion of vortex binaries in periodic fluid domains, demonstrating that while local dynamics allow for analytical solutions, the periodic boundary conditions induce geometric corrections such as angular drift in dipoles and a unique nonlinear frequency chirp during inspiral.
This paper demonstrates that torus one-point functions in critical loop models can be expressed via sphere four-point functions at a different central charge, allowing the authors to use a numerical bootstrap approach to systematically compute these functions as infinite linear combinations of conformal blocks.
This paper develops a comprehensive theory of adjusted connections on non-abelian bundle gerbes using Saemann's non-abelian differential cohomology, providing a coordinate-independent formulation of the Tellez-Dominguez lifting theorem that relates these connections to those on abelian bundle 2-gerbes.
This paper demonstrates that one-dimensional hard-rod gases governed by either stochastic (diffusive) or unitary (ballistic) dynamics exhibit identical non-Gaussian fluctuations in the large-scale, long-time one-time joint distribution of tracer positions, revealing an emergent universality despite their fundamentally different microscopic behaviors.
This paper investigates the spectral properties of a one-dimensional quantum particle with a jump-discontinuous mass profile, revealing that scale-free boundary conditions lead to highly erratic eigenfunctions and an infinite variety of distinct semiclassical limits.
This paper investigates three-dimensional partition functions derived from tetrahedral -operators, establishing connections between the case and tensor Schur polynomials (leading to new identities and applications in the multispecies TASEP) and the generic case and -deformed loop elementary symmetric functions.
This paper improves upon previous polynomial bounds for joint eigenfunctions in quantum integrable systems by establishing a sharp pointwise bound of for points satisfying a rank non-degeneracy condition.
This paper investigates the series representations of -fold Mellin-Barnes integrals used to derive off-diagonal asymptotic expansions for operator functions on curved backgrounds, providing a physical interpretation of these series in terms of UV and IR properties.