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 develops a direct, intrinsic theory of strain-gradient special Cosserat rods based on the principle of virtual work, deriving governing equations, constitutive laws, and bifurcation properties without relying on a three-dimensional parent material.
This paper analyzes the KdV-ghost system arising from BRST topological field theory by establishing its symmetries, proving an isospectral theorem for a Grassmann-valued Lax pair, and constructing a nilpotent Darboux transformation that recursively generates new solutions and interprets the ghost sector as tangent directions to soliton phases.
This paper proves that limit-periodic Jacobi matrices in the weak exponential class possess purely absolutely continuous spectra when the parameter is sufficiently large, achieved by establishing spectral homogeneity, transferring reflectionlessness from periodic approximants, and applying a theorem by Poltoratski and Remling to exclude singular spectrum.
This paper provides an elementary proof demonstrating that for a locally constant function on a topologically mixing subshift of finite type, the equilibrium measures converge as the temperature approaches zero, with the resulting limit measure assigning algebraic numbers to every cylinder.
This paper extends the Bogomolny–Zinn-Justin cancellation mechanism to multi-well quantum systems by deriving multi-instanton contributions from Euclidean path integrals, demonstrating how Picard–Lefschetz relations between integration contours reproduce exact-WKB Stokes jumps, and identifying ambiguities in event sequence mappings at higher nonperturbative orders.
This paper proves a conjectured factorized formula for the determinant of an evaluation matrix associated with a degeneracy graph by establishing a block-triangular structure via graph analogues of Newton polynomials, thereby revealing that the determinant's exponents correspond to overlap volumes of higher-dimensional Young diagrams and enabling the explicit recursive inversion of the matrix.
This paper proves that the free energy of the Ising model in a magnetic field for dimensions satisfies no algebraic differential equation at almost all field values, thereby ruling out Onsager-type closed-form solutions due to a geometric obstruction involving droplet scaling and integer band constraints.
This paper establishes supercritical sharpness for the Ising double random current model in dimensions by proving local uniqueness of the macroscopic cluster via a simplified sprinkling argument, thereby offering a more accessible proof of exponential decay of truncated correlations and exponential mixing for the FK-Ising measure.
This paper develops a systematic rational -system framework to solve Bethe ansatz equations for the XXZ spin chain at root of unity by eliminating Fabricius-McCoy string solutions to identify primitive states and constructing their descendant towers to fully characterize the Hilbert space and compute the 6-vertex model's torus partition function.
This paper employs a semi-analytic bootstrap approach to numerically compute 4-point correlation functions in E-series Virasoro minimal models, thereby deducing their non-chiral fusion rules and proposing a universal conjecture for their structure constants based on double Gamma functions and trigonometric polynomials.