🔢 Category

math-ph

2670 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.

⚛️ high-energy theory

Duality, asymptotic charges and higher form symmetries in pp-form gauge theories

This paper computes asymptotic surface charges for pp-form gauge fields in DD-dimensional Minkowski spacetime, demonstrating that Hodge duality maps electric-like charges to magnetic-like charges via a Möbius transformation, establishes a topological existence and uniqueness theorem for this duality map, and links higher-form symmetry charges to asymptotic charges to advance the celestial holography program.

Federico Manzoni2026-01-26
⚛️ high-energy theory

Existence theorem on the UV limit of Wilsonian RG flows of Feynman measures

This paper establishes that under mild conditions, a Wilsonian renormalization group flow of Feynman measures extending to arbitrary regularization strengths possesses a factorization property, ensuring the existence of a well-defined ultimate UV limit measure on distributional fields from which all regularized instances can be derived as marginals.

Andras Laszlo, Zsigmond Tarcsay, Jobst Ziebell2026-01-26
🔢 mathematics

Multisymplectic AKSZ sigma models

This paper generalizes the AKSZ construction to multisymplectic sigma models by equipping the target QQ-manifold with an arbitrary-degree closed form, thereby providing a unified, higher-derivative gauge-invariant framework that reformulates diverse theories such as higher-dimensional Chern-Simons theory, MacDowell-Mansouri-Stelle-West action, and self-dual gravity while connecting to standard multisymplectic formulations in PDE geometry.

Thomas Basile, Maxim Grigoriev, Evgeny Skvortsov2026-01-26
🔬 optics

Ultrafast Dipolar Electrostatic Modeling of Plasmonic Nanoparticles with Arbitrary Geometry

This paper presents an ultrafast electrostatic modeling framework for plasmonic nanoparticles of arbitrary geometry that achieves rapid spectral response calculations by projecting the Neumann-Poincaré operator onto a compact dipole basis to avoid large eigenproblems, while incorporating retardation effects via the modified long-wavelength approximation.

Paulo S. S. dos Santos, João P. Mendes, José M. M M. de Almeida, Luís C. C. Coelho2026-01-26