2619 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 introduces a roughness-based extension of the gas-surface scattering kernel formalism that recursively lifts local atomic-scale interactions to larger geometric scales via multi-reflection operators, establishing conditions under which the resulting global kernels preserve essential physical properties like reciprocity and normalization.
This paper rigorously establishes that conformally covariant -point functions of spinning operators can be expressed using basic building blocks by applying invariant theory and combinatorics to enumerate structures, derive algebraic constraints, and provide computational tools for three-point functions.
This paper presents a general framework for the high-precision numerical evaluation and analytic continuation of multivariate hypergeometric functions by adapting methods from multi-loop Feynman integrals to construct Pfaffian systems via Laporta reduction and employing a Frobenius-based scheme to systematically track solutions across different Riemann sheets.
This paper revisits screw theory using affine tensor formalism to demonstrate that the Euler-Poincaré equation for Cosserat arches and rigid bodies implies the parallel transport of the momentum tensor via Ehresmann connections on the principal bundle of affine frames.
This paper investigates the addition of independent random rectangular matrices in low and high temperature regimes, revealing a duality between deterministic singular value concentration and a law of large numbers by utilizing type BC Bessel functions to introduce a new family of cumulants that unify classical and free probability concepts.
This paper theoretically and numerically demonstrates how closing the Dirac gap in a particle bath induces a transition from non-exponential to exponential decay in a coupled two-level system, while introducing a finite cutoff reverses this behavior, and validates these findings through proposed experimental setups using optical waveguide arrays.
This paper utilizes the theory of boundary quadruples to rigorously prove that all contraction semigroups extending the Schrödinger Hamiltonian for a particle in a bounded region are generated by linear absorbing boundary conditions, thereby validating Tumulka's model of irreversible detection and establishing a natural Born rule for detection times.
This paper reveals a simple underlying structure in the strong coupling transseries of SYM observables with a matrix Bessel kernel, providing an efficient method to generate full transseries expansions for quantities like the cusp anomalous dimension and octagon form factor while verifying their resurgence structure through high-precision numerical analysis.
This paper presents a fully relativistic derivation of the elastic response of a thin rectangular plate to gravitational waves, yielding explicit closed-form solutions for induced displacements and energy deposition in materials with a vanishing Poisson ratio, alongside the computation of secondary gravitational wave emission from the oscillating plate.
This paper reviews the concept of Yang-Baxter integrability for constrained anyonic chains, establishes new connections to Temperley-Lieb algebras, and identifies novel integrable models across various fusion categories up to rank 7 using a modified boost operator formalism.