2656 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 proposes a cohomological framework for analyzing perturbative anomalies in quantum mechanics, demonstrating that system perturbations and symmetry anomalies correspond to the first and second Chevalley-Eilenberg cohomology groups, respectively, of the underlying Abelian Lie algebra acting on the Hilbert space.
This paper demonstrates a method for certifying genuine randomness in a black-box setting without relying on assumptions about data generation or a random seed, thereby provably preventing any deterministic adversary from successfully faking random outcomes using single particle state measurements.
This paper demonstrates that by incorporating gravitational constraints and a boundary charge into the algebra of observables on a dynamical black hole horizon, one can construct a Type- von Neumann factor whose entropy satisfies a first law of thermodynamics and is directly related to the Hollands-Wald-Zhang entropy of perturbed black holes via horizon and null infinity fluxes.
This paper rigorously derives a variational action principle for classical initial value problems by taking the classical limit of the Schwinger-Keldysh formalism, revealing that both forward and backward paths possess classical solutions and fluctuations, with the backward path uniquely propagating backwards in time to naturally enforce zero deviation without manual constraint.
This paper introduces HERB, a unified thermomechanically consistent framework driven by the Rice-Beltz concept that integrates hydrogen transport, dislocation emission, and void growth to reconcile multiple hydrogen embrittlement mechanisms (HEDE, HELP, NVC, and HESIV) within a single multiscale model.
This paper establishes the direct and inverse scattering framework for the focusing nonlinear Schrödinger equation with step-like initial data consisting of elliptic traveling waves, formulating the inverse problem as a solvable Riemann–Hilbert problem that generalizes to full soliton-gas initial data.
This paper proposes two distinct definitions for the Hasse-Witt invariant of Calabi-Yau varieties—one utilizing the Cartier operator and the other based on Calabi-Yau modular forms—conjectures their equivalence, and supports this hypothesis with numerous examples.
This paper derives exact, convergent representations for multiloop sunset Feynman integrals in two dimensions with arbitrary masses and all loop orders, utilizing symmetric polynomials and dimension-raising relations to facilitate high-precision numerical evaluation and the systematic reconstruction of four-dimensional results.
This paper extends the Lieb–Thomas strategy to prove that the ground-state energy of fermionic Fröhlich multipolarons in the strong coupling limit is accurately approximated by the corresponding Pekar–Tomasevich energy, even under general external electric and magnetic fields, by incorporating fermionic statistics via a localization method and relaxing prior constraints on field regularity.
This paper introduces a morphism of spectral triples that links twisted and pseudo-Riemannian frameworks, demonstrating how a unitary operator implementing a twist can induce local signature changes in even-dimensional manifolds through its relationship with the Krein product and parity operator.