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 a rigorous inverse scattering construction for the Korteweg–de Vries equation with real initial data that is both and summable and supported on the positive half-line, deriving a trace-type representation for the solution via left reflection coefficients and Hankel operators.
This paper demonstrates that Many-Body Gravity (MBG), a modified 5-D gravity theory, naturally reproduces cosmic inflation and resolves time-definition issues in non-interacting universes by utilizing entropic terms and interacting massless scalar fields, all without requiring dark matter.
This paper demonstrates that a fixed-parameter all-to-all Ising spin model exhibits a spectrum of dynamics ranging from integrable to chaotic across its symmetry sectors, which can be mapped to dimension-dependent kicked top models and are shown to remain resilient to noise.
This paper presents a time-dependent extension of logarithmic perturbation theory for nonrelativistic quantum dynamics, which utilizes a gauge-rotated Hamiltonian to derive closed-integral expressions for corrections and instantaneous energy shifts, demonstrating high accuracy and applicability to multi-photon processes through applications to driven harmonic oscillators and hydrogen atoms.
This paper establishes the ODE/IM correspondence between the linear problem of the supersymmetric affine Toda field equation for the twisted affine Lie superalgebra and 2d superconformal field theories by deriving WKB periods up to tenth order and verifying their agreement with the eigenvalues of local integrals of motion in the Neveu-Schwarz sector up to sixth order.
This paper establishes the first proof of nonlinear Landau damping for charged self-interacting plasmas in an expanding Newtonian cosmological setting, demonstrating that charge density contrasts decay superpolynomially for small Gevrey-class perturbations when the scale factor grows as with .
This paper corrects the subleading coefficient in the regular-center Frobenius expansion for static tidal perturbations of relativistic stars and extends the even-parity master equation to Schwarzschild-de Sitter backgrounds, demonstrating that while the corrected coefficient alters initial data, it does not affect the extracted Love number .
This paper presents a reduced analytical model based on a conservation law approach that successfully predicts quantitative blocking thresholds for two-dimensional bistable reaction-diffusion fronts navigating geometric obstacles, including conical regions and checkerboard patterns, by linking the reaction term's integral to an effective driving force.
This paper presents a mathematically rigorous quantum algorithm that estimates the free energy and Gibbs state of interacting quantum Coulomb gases and molecules in finite dimensions by combining finite-rank interaction truncation with a quantum Gibbs sampling scheme that guarantees exponential convergence via a strictly positive spectral gap.
This paper demonstrates that -Hurwitz numbers with rational weights arise as explicit limits of Whittaker vectors for type -algebras, thereby generalizing previous results, providing a geometric interpretation via generalized branched coverings, and establishing that classical hypergeometric Hurwitz numbers are governed by Eynard-Orantin topological recursion.