1668 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 establishes the first rigorous end-to-end theory for tensor network belief propagation on strongly injective projected entangled pair states, proving that the algorithm converges efficiently and exhibits "algorithmic locality," which allows local perturbations to be handled via local recomputation and enables accurate approximation of physical quantities in polynomial time.
This paper establishes that two-dimensional crystallization occurs for the Heitmann-Radin sticky disk potential under any arbitrary norm, proving that minimizers are affine transforms of triangular or square lattices determined by the norm's kissing number, while also constructing explicit -norm families for lattice crystallization and numerically identifying unexpected phase transitions in minimizers for Lennard-Jones and Epstein zeta potentials.
This paper defines invariant, Carrollian-geometric extended boundaries at timelike and spatial infinity (Ti and Spi) for asymptotically flat spacetimes, demonstrating their utility in characterizing asymptotic symmetries, realizing massive field scattering data, and naturally recovering the BMS and Poincaré groups along with Strominger's matching conditions.
This paper generalizes the Vershik-Kerov limit shape problem to circular and linear quiver theories, as well as a double-elliptic setting related to six-dimensional gauge theory, proving that the resulting limit shape is governed by a genus two algebraic curve which suggests unexpected dualities between enumerative and equivariant parameters.
This paper establishes a correspondence between the generalized Schur indices of 4d and superconformal field theories and the eigenfunctions of non-relativistic integrable models, such as the elliptic Ruijsenaars-Schneider and Inozemtsev systems, thereby deriving new mathematical identities and extending these relationships to various classes of SCFTs.
This paper critically examines the limitations of neural surrogates for multiscale partial differential equations, arguing that their success is often confined to low-dimensional manifolds and that fundamental issues like spectral bias and irreversible information loss from coarse-graining prevent them from reliably generalizing to genuinely chaotic scenarios, while suggesting that their true value lies in specific hybrid approaches and improved reporting standards.
This paper introduces a graph-theoretic method that determines the number and localization of massless fermion modes in latticized theory-space models by analyzing the maximum matching and Dulmage-Mendelsohn decomposition of bipartite graphs representing mass terms, providing a parameter-independent tool for systematic model construction.
This paper introduces a framework for "native" quantum games where strategic interaction and Nash equilibria emerge intrinsically from the unitary dynamics of coupled discrete-time quantum walks, demonstrating that stable strategy profiles arise specifically from interaction-induced interference rather than external mathematical imposition.
This paper establishes the existence of macroscopic loops in the random loop model with crosses and bars on sparse random graphs by developing a deterministic drift method that yields averaged lower bounds for macroscopic loop probabilities when edge density exceeds a specific threshold, with these results strengthened to pointwise bounds for integer loop weights via trace representation.
This paper rigorously proves that the basins of attraction for identical oscillators on a ring coupled by any smooth, strictly increasing odd function exhibit an "octopus-like" geometry with volume scaling as and concentrated in filamentary tentacles, thereby validating the conjecture previously supported only by unreliable high-dimensional simulations.