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.
This paper reviews optimal asymptotic expansions of correlation functions and observables for Gaussian ensembles in random matrix theory while introducing a related line of ongoing research.
This paper demonstrates that the generalised Born rule and a rigorous identification between scalars and probabilities can be derived from fundamental principles by showing that any process theory satisfying basic compatibility axioms is equivalent to one where the rule holds, with the introduction of noise further strengthening this identification to a semiring isomorphism.
This paper introduces a novel numerical bootstrap framework based on moment observables that provides rigorous bounds on conformal field theory spectra, revealing new continuous families of kinks and spectral reorganizations across dimensions that are difficult to access with traditional methods.
This paper derives and establishes the well-posedness of nonlinear Kirchhoff-Love shell models based on the Ciarlet-Geymonat energy by combining asymptotic reduction with Simpson's quadrature to ensure lower semicontinuity, ultimately proving the existence of minimizers through polyconvexity arguments that account for both material properties and initial geometry.
This paper investigates a tilted Kuramoto-Vicsek model under a confining potential, deriving an explicit formula that shows the critical coupling threshold for instability increases quadratically with confinement strength while being influenced by the tilt only through steady-state corrections.
This paper derives and analyzes four distinct classes of soliton solutions (bright-bright, dark-dark, bright-dark, and dark-bright) for a coupled Sasa-Satsuma-mKdV equation using the Kadomtsev-Petviashvili reduction method, revealing inelastic collisions in the bright-bright case and identifying unique dark-dark profiles and kink-kink interactions.
This paper presents a unified framework for constructing continuous and discrete -invariant integrable systems by generalizing the Schwarzian derivative and cross-ratio through the factorization of third-order linear spectral problems, thereby establishing dualities, exact discretizations, and a generating Lagrangian structure for the Boussinesq hierarchy.
This paper demonstrates that on a codimension-one manifold of fine-tuned initial data, the internal mode of a soliton in the 1D quadratic Klein-Gordon equation undergoes slow, irreversible decay into dispersive radiation due to radiation damping, a process accurately described by a cubic resonant approximation with a damping rate governed by a Fermi golden rule-type coefficient.
This paper proves that isotropic spin and field models on the one-dimensional integer lattice satisfy the generalized Lee-Yang property for all even dimensions , extending a result previously known only for two-dimensional isotropic models.
This paper constructs and analyzes the stability of single-frequency asymptotic solutions for damped driven Maxwell-Bloch equations under quasiperiodic pumping, utilizing the Bloch-Feynman gyroscopic representation and Bogolyubov-type averaging theory.