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 demonstrates that the accuracy of the Lorentz Integral Transform method for calculating quantum response functions can be significantly improved by utilizing better-conditioned complex Stieltjes and double-pole kernels, which reduce noise-induced scatter by factors of 2–4 compared to the standard Lorentzian kernel.
Using the Topological Vertex, this paper establishes a higher genus and higher winding open-closed duality between the Gopakumar-Vafa invariants of the toric Calabi-Yau 3-folds and (where is a toric blow-up of a toric Fano surface ) and the LMOV invariants of an outer Aganagic-Vafa brane in .
This paper establishes that Fock's inverse spectral transform for cluster integrable systems commutes with tropicalization, yielding a tropical inverse map and a tropical version of Fay's trisecant identity by analyzing the leading-order asymptotics of classical objects as Harnack spectral curves degenerate to nodal curves.
This paper proposes a method for closing moment chains in the Vlasov-Poisson kinetic system by assuming the final fluid component is pressureless, resulting in a hyperbolic multicomponent medium model where components interact via an electric field.
This paper establishes a new cohomological framework for Novikov algebras by relating their cochain complexes to those of underlying pre-Lie algebras via a long exact sequence and demonstrates that their second cohomology groups classify infinitesimal deformations and abelian extensions.
This paper addresses an inverse problem for the isentropic Euler equations by developing a modified wavefront tracking scheme to uniquely determine the piston speed and the associated flow field from a prescribed Lipschitz leading shock trajectory satisfying an Ole\u{i}nik-type entropy condition.
This paper completes the classification of left-invariant Einstein metrics on by ruling out specific isotropy cases and proving that, up to homothety and isometry, the only such metrics are the standard product metric and the Jensen nearly Kähler metric.
This paper introduces Hadamard mirror descent, a first-order optimization framework on Hadamard manifolds that enables efficient computation of quantum functionals and other tensor parameters on implicitly defined moment polytopes without requiring an explicit description of the polytope.
This paper establishes the uniqueness of stationary solutions to the DLR equations for the unit-intensity point process under a finite electric energy condition, thereby providing a canonical statistical physics characterization of the process and resolving a question posed by Dereudre, Hardy, Leblé, and Maïda.
This paper constructs -deformed polyanalytic Ginibre point processes using the representation theory of the -CCR algebra and establishes central limit theorems for their linear statistics, revealing that while the deformation alters macroscopic density and droplet size, the rescaled limiting covariance structures remain identical to those of the classical ensembles.