2563 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.
Building on the work of Deift and Zhou, this paper analyzes the long-time asymptotics of the autocorrelation function for the transverse Ising chain at the critical magnetic field via the Riemann-Hilbert problem, refining previous results by determining the subleading growing term.
This paper develops the notion of spaces over dg manifolds and establishes an equivalence between the category of transitive algebroids and that of spaces, while also constructing a faithful functor between them, with both mappings detecting weak equivalences.
This paper addresses the validation of stochastic system reconstruction from noisy data by demonstrating the limitations of standard deterministic metrics and proposing a threshold-free, two-step exploratory test, while acknowledging constraints imposed by system degeneracy, non-identifiability, and intrinsic stochastic features.
This paper investigates the zeros of independent and identically distributed Gaussian Laurent series on an annulus, demonstrating that their zero point process forms a permanental-determinantal point process characterized by weighted Szegő kernels and exhibiting specific symmetries and interpolation properties in the limit as the annulus shrinks to the unit disk.
This paper establishes that the diffusive scaling limit of a finite system of mutually avoiding long clusters in subcritical 2D FK-percolation converges to a system of non-intersecting Brownian bridges (Brownian watermelon), while also providing asymptotic estimates for connection probabilities and large cluster occurrences in related percolation models.
This paper proves the weak convergence of the power iteration method and the Rayleigh quotient for matrices with finite Levi-Civita field entries under a specific eigenvalue dominance condition, extends these results to Puiseux series, and provides a Python implementation.
This paper introduces the concept of -twisted restricted conformal blocks on a three-pointed twisted projective line, establishes their isomorphism to -twisted correlation functions and intertwining operators, and applies these results to derive a twisted version of the Fusion Rules Theorem.
This paper demonstrates that the complete set of Landau singularities for Feynman integrals can be explicitly derived from the Whitney stratification of a specific map, a method successfully applied to nontrivial two-loop examples to simultaneously reveal singularities of both the original integrals and their kinematic limits.
This paper establishes that a four-dimensional non-linear electrodynamics theory is equivalent to Maxwell theory in a field-dependent, unit-determinant curved spacetime if and only if it possesses electric-magnetic duality invariance, a property that uniquely characterizes ModMax theory and enables a novel analysis of global symmetries and conserved currents via harmonic forms with respect to the induced metric.
This paper introduces a multi-product formula that leverages advanced mathematical techniques to overcome the traditional convergence limit of the quantum Zeno effect, achieving arbitrarily high-order convergence rates of for projected Hamiltonian and Lindbladian systems.