3366 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.
The paper proves that for any real-analytic Hamiltonian system with a non-degenerate equilibrium and satisfying nonresonance conditions, one can construct a real-analytic perturbation of arbitrarily high order that renders the system completely integrable on the entire symplectic space.
This paper establishes that for a balanced two-type annihilation process on a complete graph, the expected extinction time is asymptotically , a result that holds independently of the relative speeds of the two particle types.
This paper completes the classification of 4x4 solutions to the quantum Yang-Baxter equation by identifying the remaining non-regular solutions and demonstrating that, unlike regular cases, non-regular Lax operators can yield R-matrices that satisfy a modified rather than the standard Yang-Baxter equation.
This paper demonstrates that a non-commutative five-dimensional Chern-Simons theory on the projective spinor bundle compactifies to the KP equation and its dispersionless limit, revealing that all tree-level amplitudes vanish and that the theory's surface defect vertex algebra contracts to in the dispersionless limit.
This paper introduces equi-affine invariants derived from averaging tropical structures to define a family of functions for convex domains, proving a limiting description for unbounded domains with two non-parallel asymptotes and providing an explicit formula for the arithmetic mean at the center of the unit disk.
This paper provides a complete theoretical characterization of symmetry breaking, phase transitions, and crossovers in the large- limit of specific one-matrix random fuzzy non-commutative geometry ensembles, confirming its predictions through agreement with Monte-Carlo simulations.
This contribution establishes a conceptual framework that links pairwise comparisons of qubit states with an elementary quantum geometry by demonstrating how phase-valued transition data and their associated triangular defects find natural counterparts to Bargmann invariants and geometric phases.
This article extends Schur's theorem to topological Hausdorff groups by establishing a dynamical version that links the finiteness of the topological entropy of continuous endomorphisms with the properties of the closed derived subgroup in maximally almost periodic groups.
This article presents a two-step resolution of singularities for irreducible configuration hyperplanes by constructing a smooth tropical compactification of a Bloch-type incidence variety via bipermutohedral matroid combinatorics and simultaneously establishes that the normalized Nash resolution possesses strongly F-regular and rational singularities.
This paper provides a pedagogical review of using Conformal Field Theory techniques to compute Schramm-Loewner Evolution observables in the upper half-plane, successfully recovering known results like Schramm's left-passage probability and anchored cluster densities while deriving new formulas for the densities of pivotal points in critical Fortuin-Kasteleyn clusters.