2563 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 a full large- asymptotic expansion for the central heat trace on compact classical groups by utilizing a highest weights/partitions correspondence and a random surface representation, leading to new results on Casimir spectrum growth and rigorous formulations of Yang--Mills/Hurwitz and Yang--Mills/Gromov--Witten dualities on the two-dimensional torus.
This paper establishes lower bounds on tunneling rates for generic double-well systems under strong magnetic fields and deep potentials, complementing previous findings that demonstrated vanishing tunneling in specially constructed cases.
This paper presents a computationally efficient, two-dimensional analytical model for characterizing toroidal magnetic rings with circular cross-sections under sinusoidal excitation, deriving explicit expressions for internal fields, impedance, and separated loss components to serve as an accurate alternative to finite element analysis for standardized material testing.
This paper explicitly describes the Ricci flow for the Bures--Helstrom qubit metric, demonstrating that it evolves as a homothetic shrinker to a collapsed limit at time while remaining within the monotone cone, and analyzes its volume-normalized counterpart as a fixed point with a specific spectral gap.
This paper investigates a t-split two-periodic Aztec diamond model divided into unequal regions with distinct weightings, deriving its correlation kernel and characterizing its limit shape behavior, which features a dominant side identical to the standard model and a non-dominant side exhibiting a novel shape dependent on both weightings and the interface location.
This paper establishes a -theoretic obstruction theory for linearizing quantum cellular automata (QCA) representations over arbitrary fields, deriving universal obstruction classes from the homotopy type of QCA spaces and fully computing these types for complex and unitary cases on a point, line, and plane.
This paper presents and rigorously analyzes a fully discrete, second-order, explicit splitting scheme for fluid-poroelastic structure interaction problems that achieves unconditional stability under a parabolic CFL condition and optimal-order convergence by combining BDF2 time stepping with second-order Adams-Bashforth extrapolation within a Robin reformulation framework.
This study extends linear stability analysis to partially miscible two-phase, two-component flow in porous media by deriving jump conditions for discontinuous eigenfunction derivatives and demonstrating that interphase mass transfer predominantly stabilizes viscous fingering instabilities by reducing viscosity contrast and altering shock properties, while revealing complex interactions between capillary forces and mechanical dispersion.
This paper establishes a fundamental complexity separation in shadow estimation by proving that while worst-case optimality requires measurement bases, average-case optimality can be achieved with only bases using easily implementable 2-designs, thereby enabling efficient protocols for generic quantum state fidelity estimation.
The paper demonstrates that leaky magnetohydrodynamic waves in coronal magnetic flux tubes cannot be treated as quasi-normal modes or systematically applied to coronal seismology because, unlike their electromagnetic counterparts in dielectric media, they cannot be regularized due to the fundamental constraint of magnetic flux conservation.