2548 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 scalar discrete-series unitary irreducible representations of the de Sitter group admit a covariant Gupta-Bleuler structure in the bulk, which induces a corresponding indecomposable boundary realization on conformal infinity linked by a duality-preserving Fourier-type transform.
This paper explicitly describes the Neveu–Schwarz supergroup over a Grassmann algebra and its associated semigroup of superannuli, demonstrating that under specific conditions, unitary representations of the group extend to the semigroup via Gauss–Berezin integral operators.
This paper employs machine learning to demonstrate that while Krylov observables like spread complexity and Wigner negativity can effectively classify symmetry classes and estimate thermofield temperatures, the normalized negativity uniquely captures the informational surplus of chaos by resolving spectral degeneracies and distinguishing second-moment dynamics from fine-grained spectral form factor features.
This paper establishes optimal asymptotic bounds on the covariance of the trace of Schrödinger semigroups perturbed by white noise in dimensions one and two using Feynman-Kac formulas and Brownian bridge local times, thereby improving existing results for , providing the first such estimates for , and applying these findings to prove quantitative hyperuniformity and decorrelation properties.
This paper introduces the concept of fouling maps as non-invertible generalizations of fouling transformations within time-independent Hamiltonian mechanics, developing a tensorial method to construct polynomial fouling maps from symmetric tensor fields that induce invariant -tensor fields and yield polynomial constants of motion.
This paper resolves Brezis' Open Problem 2.5 by proving that every smooth entire solution of the planar Ginzburg--Landau equation approaching unit modulus at infinity possesses finite potential energy, achieved through a novel analysis of circulation modes, Kelvin inversion, and coercivity estimates that establish the necessary decay.
This paper presents slides from a 2024 Simons Center talk that reviews the L-functional formalism and explores its potential applications to QED, linearized gravity, and quenched disorder, with a particular focus on addressing the infrared problem in QED through a conjectured infrared-finite perturbation theory.
This chapter provides a comprehensive overview of the methodological foundations and practical workflows for analyzing large-scale brain networks using noninvasive EEG and MEG, covering physical principles, source reconstruction, connectivity measures, modern analysis pipelines, and emerging applications in health and disease.
This paper presents a Schwinger-boson realization of the master T-operator for rational inhomogeneous gl(M) spin chains, demonstrating how this construction unifies two distinct definitions of Baxter Q-operators by showing that the residue of the master T-operator and a Holstein-Primakoff contraction both yield the same degenerate Yangian L-operators.
This study demonstrates that implementing a Robin outflow boundary condition, which incorporates local linear stability predictions, enables robust and efficient global stability analysis of bluff body wakes by allowing for significantly truncated computational domains without compromising accuracy or inducing spurious oscillations.