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 constructs -deformed polyanalytic Ginibre point processes using the representation theory of the -CCR algebra and establishes central limit theorems for their linear statistics, revealing that while the deformation alters macroscopic density and droplet size, the rescaled limiting covariance structures remain identical to those of the classical ensembles.
This paper generalizes the commutative factorization framework for second-order nonlinear ordinary differential equations by integrating the Riccati-Bernoulli equation and Bäcklund transformation to provide a systematic method for constructing both particular and general solutions, as demonstrated through various physical and mathematical models.
This paper determines the complete spectrum of the predual generator for irreducible Gaussian quantum Markov semigroups on finite-mode bosonic Fock spaces across stable, strictly unstable, and periodic critical drift regimes, revealing distinct spectral structures such as open left half-planes and residual spectra that differ significantly from the polynomial eigenvalues generated by the drift matrix.
This paper extends the rank-one equivalence result for the limiting free entropy of spiked models from finite-rank symmetric matrices to even-order symmetric tensors by adapting replica symmetry methods to handle Hadamard powers in the variational formula.
This paper demonstrates that genuine multipartite nonlocality can be superactivated by locally combining two copies of a biseparable correlation or via a catalytic single-copy protocol, thereby challenging the operational validity of the standard biseparable definition for this phenomenon.
This paper presents a systematic framework for analyzing relativistic quantum transport on branched lattice structures by deriving exact solutions for the one-dimensional discrete Dirac equation on graphs, specifically demonstrating its validity and agreement with continuum models through the example of three-edge star graphs.
This paper classifies all natural, conformally covariant symmetric (0,2)-tensors of conformal weight -2 and differential order up to 4 in dimension 4, proving that the resulting 2-dimensional space is spanned by the Bach and Eastwood-Singer tensors, with key algebraic and computational verifications performed using Lean 4 and exact rational arithmetic.
This paper establishes that sufficiently strong weighted isoperimetric inequalities guarantee percolation on infinite graphs by introducing a novel Peierls argument that accounts for internal and external connectivity costs, thereby resolving long-standing conjectures regarding non-summable long-range percolation on and the critical probability bound for transitive graphs of superlinear growth.
This paper introduces and validates an efficient numerical scheme based on particle discretization to solve the previously intractable boundary-value hydrodynamical problem governing the high-dimensional asymptotics of extensive-rank Harish-Chandra-Itzykson-Zuber (HCIZ) integrals, thereby enabling the numerical exploration of diverse high-dimensional models in random matrix theory and statistical physics.
This paper introduces a mixture of sector-resolved samplers (MSRS), a generative model that combines sector-specific training with bijective topological shifts to explicitly resolve topological sectors and accurately compute their relative weights, thereby overcoming the topological freezing problem that plagues traditional Markov Chain Monte Carlo methods in lattice gauge theories.