3190 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 the concept of "partial isophase symmetry," a phenomenon where separation of variables in the Schrödinger equation yields an infinite family of physically distinct electromagnetic field configurations that are dynamically indistinguishable within a specific quantum sector, illustrated through axially symmetric magnetic backgrounds and Cartesian slab geometries.
This paper establishes a non-perturbative classical double copy between complexified SU(2) Yang-Mills theory and four-dimensional conformally flat gravity by identifying the gauge potential with the chiral spin connection, thereby unifying gauge and gravitational fields through a "doppelgänger" framework that maps field strengths to curvature components even in the presence of constant scalar curvature and matter sources.
This paper demonstrates that the no-signaling hypothesis, when combined with standard representations of composite experiments and basic marginal probability rules, is logically equivalent to the universality of the POVM framework, thereby deriving a significant portion of non-relativistic quantum mechanics' probability structure from the principle that isolated systems cannot signal each other.
This paper establishes a general axiomatic framework for multi-time states within operational probabilistic theories that accommodates both Markovian and non-Markovian dynamics, enabling the characterization of temporal memory, causal inference, and Bayesian retrodiction across quantum mechanics and generalized theories like boxworld.
This paper introduces an algebraic method using Brieskorn reduction and Gauss-Manin systems to compute asymptotic expansions and Stokes constants for multidimensional oscillatory integrals without calculating gradient flows, as demonstrated by the open-source Julia package Resurgence.jl.
This paper presents a novel formulation of complex general relativity where the spacetime metric is reconstructed from three affine lines per point, leading to a canonical theory with a weighted triple of lines as the sole dynamical variable that remains regular even when the evolution direction becomes null.
This paper establishes a complete classification of invariant measures for quantum trajectories by proving the uniqueness of measures on dark subspaces and characterizing the ergodic measures within them as a set indexed by unitary group orbits.
This paper utilizes B-brane hemisphere partition functions in anomalous gauged linear sigma models to generalize band restriction rules and establish new derived equivalences between Calabi-Yau varieties arising from mixed branches in models.
This paper presents a novel, non-perturbative construction of the Gross-Neveu model by formulating the Polchinski flow equation as a well-posed infinite-dimensional partial differential equation on a Banach space and solving it via a fixed point argument, thereby rigorously establishing the convergence of Schwinger functions and the existence of an interacting random field without relying on expansion-based techniques.
This paper investigates Simpson's stratification of the de Rham moduli space of rank-2 flat connections on a compact Riemann surface by constructing explicit holomorphic families where colliding apparent singularities realize the closure relation between strata via isomonodromic bubbling surgery, with corresponding descriptions provided for Higgs bundles using Baker–Akhiezer divisors.