2656 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 establishes a mathematically controlled framework for Yang-Baxter integrability in periodically driven pseudo-Hermitian quantum impurity systems, demonstrating how a modified RTT structure and biorthogonal Bethe ansatz enable the characterization of exceptional points through defective Gaudin matrices and square-root coalescence of rapidities.
This paper establishes quantum mixing for Schrödinger eigenfunctions on a sequence of compact hyperbolic surfaces converging to the hyperbolic plane in the Benjamini-Schramm limit, utilizing the Duhamel formula and exponential mixing of the geodesic flow to apply the results to congruence covers, random high-genus surfaces, and many-body Bose gas models.
This paper establishes a unified theoretical framework, utilizing nonlinear integral equations and Fokker-Planck descriptions with Robin-type boundary conditions, to model surface-mediated autocatalytic processes and identify universal scaling laws that determine whether such systems undergo extinction or explosive growth.
This paper proves that for quantum Markov semigroups with a faithful normal invariant state on arbitrary von Neumann algebras, the exponential decay rate with respect to the KMS inner product (and a broader class of operator monotone induced inner products) is bounded below by the decay rate with respect to the GNS inner product, thereby confirming a conjecture previously limited to the Gaussian case.
This paper defines an -invariant tropical zeta function for convex domains, proving that for strictly convex domains in dimension 2, it extends meromorphically with a simple pole at whose residue is proportional to the equiaffine perimeter, thereby yielding a asymptotic for the wave-front lattice perimeter.
This paper demonstrates that accelerating scaling attractors in a two-fluid cosmological system with dark matter particle creation can emerge without dark energy, but only when the energy exchange is driven by dark matter density and flows from dark matter to the second fluid.
This paper establishes the first rigorous end-to-end theory for tensor network belief propagation on strongly injective projected entangled pair states, proving that the algorithm converges efficiently and exhibits "algorithmic locality," which allows local perturbations to be handled via local recomputation and enables accurate approximation of physical quantities in polynomial time.
This paper establishes that two-dimensional crystallization occurs for the Heitmann-Radin sticky disk potential under any arbitrary norm, proving that minimizers are affine transforms of triangular or square lattices determined by the norm's kissing number, while also constructing explicit -norm families for lattice crystallization and numerically identifying unexpected phase transitions in minimizers for Lennard-Jones and Epstein zeta potentials.
This paper defines invariant, Carrollian-geometric extended boundaries at timelike and spatial infinity (Ti and Spi) for asymptotically flat spacetimes, demonstrating their utility in characterizing asymptotic symmetries, realizing massive field scattering data, and naturally recovering the BMS and Poincaré groups along with Strominger's matching conditions.
This paper generalizes the Vershik-Kerov limit shape problem to circular and linear quiver theories, as well as a double-elliptic setting related to six-dimensional gauge theory, proving that the resulting limit shape is governed by a genus two algebraic curve which suggests unexpected dualities between enumerative and equivariant parameters.