3210 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 presents a mathematically rigorous, randomized polynomial-time algorithm for computing the log-partition function of weakly interacting fermions by extending cumulant expansion convergence proofs to non-periodic systems and utilizing a tree-determinant expansion with importance sampling and belief propagation.
This paper constructs and analyzes two families of hypergeometric mixed-type multiple orthogonal polynomials (Jacobi and Laguerre I) for rank-one weight matrices, providing explicit formulas for their components, recurrence relations, and structural properties such as Christoffel transformations and bidiagonal factorizations.
This paper establishes uniform particle-displacement variance bounds and exponential tails for neutral periodic one-dimensional Riesz gases with locally attractive potentials, demonstrating that their stationary thermodynamic limits are simple, ordered, and satisfy canonical Gibbs equations while exhibiting bounded interval number variance and positive limiting second moments at low temperatures.
This paper analytically demonstrates that static sine-Gordon solitons cannot exist in 1+1 de Sitter spacetime when the ratio of mass to Hubble parameter exceeds a specific threshold, and extends this finding via heuristic arguments to suggest that similar tidal forces prevent static 't Hooft–Polyakov monopoles from undergoing secondary inflation at their cores in weak inflationary backgrounds.
This paper constructs Hamiltonian charges for the cosmological-constant deformed celestial symmetry algebra in AdS using ambitwistor-space data and the Penrose transform, establishing their correspondence to light-ray operators and their descendants in the boundary CFT.
This paper proves that the regularized stabilized sandwiched Rényi divergence of finite-dimensional quantum channels converges to the regularized relative entropy as the order approaches one, utilizing the channel hockey-stick divergence to establish exponential strong converses and a sharp zero-one testing law for channel discrimination.
This paper demonstrates that while equitable-partition-based quotient graphs provide structurally exact dynamics for cluster-synchronous states, they do not automatically preserve chimera patterns in the full network, as the transverse stability of the quotient trajectory is a critical and distinct requirement for dynamical preservation.
This paper introduces and proves the existence of "neutral measures" that can generate any real number in Cantor space by utilizing continuous semimeasures and specific randomness tests, ultimately applying these findings to establish the existence of Gibbs measures for finite-range Hamiltonians on lattice models.
This paper derives numerous exact hyperbolic, trigonometric, periodic, and algebraic solutions for both local and nonlocal integrable Fokas-Lennels equations, as well as for a generalized one-parameter family of these equations.
This paper investigates the statistical properties of the winding number in a parametric chiral symplectic random matrix ensemble (class CII), revealing that its bulk correlators exhibit super-universality with class AIII and that its discrete distribution follows a Gaussian behavior in the large matrix dimension limit.