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 introduces quantum Stokes matrices for noncommutative meromorphic linear systems with a pole of order , demonstrating that they satisfy quantum exchange relations and function as an associative algebra homomorphism that serves as a deformation quantization of the classical Riemann-Hilbert-Birkhoff map.
This paper introduces a universal thermometer model that defines a unique "contact temperature" for any arbitrary state of a finite-dimensional quantum system as the specific inverse temperature at which heat flow vanishes upon thermal contact.
This paper serves as a comprehensive primer and reference guide that consolidates the essential group theory tools, conventions, and formulae of SU(2) and SL(2,C) required for Loop Quantum Gravity and spin-foam calculations, aiming to bridge the gap between physicists and mathematicians.
This paper clarifies the relationship between the Kerov-Kirillov-Reshetikhin bijection and the slot configuration linearizations of the box-ball system by introducing a novel carrier-based description with seat numbers that reveals explicit connections and extends linearization to cases with finite carrier capacity.
This paper claims to prove the existence and smoothness of solutions to the Navier-Stokes equations in an exterior domain by employing a moving boundary integral method with "nslets" that align with the fluid flow to eliminate nonlinear flux contributions, thereby reducing the problem to a solvable linear system.
This paper demonstrates that magnetic quivers provide the essential information required to determine the Drinfeld center of symmetry topological field theories (SymTFTs) associated with absolute theories, a connection grounded in their shared objective of generalizing homological mirror symmetry.
This paper establishes rigorous, nearly optimal convergence rates of and for the Lie-Trotter approximation of quantum thermal averages in periodic and confining potentials, respectively, thereby providing a solid mathematical foundation for the accuracy of path integral simulations.
This paper proposes the Fiedler Gradient Iterative Attack (FGIA) algorithm, which utilizes Laplacian spectral perturbation and the gradient of the Fiedler vector to efficiently identify and remove edges that maximally degrade network resilience, offering a computationally efficient alternative to traditional structural attack strategies.
This paper establishes large deviation principles for the largest particle in one-dimensional log and Riesz gases within the high-temperature regime, as well as for the top eigenvalue of related tridiagonal random matrices, demonstrating that these rare events are driven by a few abnormally large entries and that the log-gas rate function coincides with that of independent and identically distributed particles.
This paper derives moderate-to-large deviation probabilities for the number of real eigenvalues in elliptic Ginibre matrices across both strong and weak asymmetry regimes, thereby bridging the gap between known Gaussian fluctuations and extreme large deviation results, including new findings for the classical real Ginibre ensemble.