1605 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 investigates dissipation operators within the framework of damped driven Jaynes-Cummings equations for a quantized field coupled to a two-level molecule, establishing the symmetry and non-positivity of the fundamental dissipation operator.
This paper presents the flow equation approach as a robust, Wilsonian-inspired framework for solving the renormalization problem across the entire subcritical regime of singular stochastic PDEs by inductively tracking the evolution of nonlinear terms in effective dynamics through a scale-dependent flow equation.
This paper proves that the BV pushforward map between a full theory and its effective infrared theory is a quasi-isomorphism by constructing a strong deformation retraction via the homological perturbation lemma, providing two distinct proofs and an explicit path integral formula for the quasi-inverse lifting map.
This paper constructs an explicit combinatorial bijection between highest weight paths in the crystal graphs of level 1 integrable representations of and integer partitions with specific rank statistics, thereby providing a precise combinatorial interpretation of the spinon motif description in Wess-Zumino-Witten conformal field theory.
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.