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 introduces the first rigorous framework for efficiently preparing Gibbs states of infinite-dimensional bosonic systems, such as Bose-Hubbard models, by proving that their dissipative generators possess a positive spectral gap, thereby enabling mathematically controlled quantum algorithms for thermal property simulation on qubit hardware.
This paper derives stochastic differential equations for the coupled system of eigenvalues and eigenvector-overlaps in non-Hermitian matrix-valued Brownian motion, establishes their scale-transformation invariance, and utilizes a regularized Fuglede-Kadison determinant to formulate stochastic partial differential equations linking the time-dependent eigenvalue point process to the logarithmic variations of the determinant.
This paper proves a global well-posedness and asymptotic convergence theorem for the -dimensional vacuum Einstein equations with a positive cosmological constant on globally hyperbolic spacetimes with negative Yamabe type manifolds, demonstrating that large initial data leads to solutions converging to a constant negative scalar curvature metric via a new integrable damping mechanism, thereby confirming Ringström's conjecture that such dynamics do not canonically encode the Thurston geometrization of the underlying three-manifold.
This paper establishes that the quantized Coulomb branch of 4d gauge theory with specific matter content is isomorphic to the spherical double affine Hecke algebra of -type, a result rigorously proven for the rank-one case and conjectured for higher ranks with supporting evidence from 't Hooft loop operators.
This paper presents and simplifies two formulations for computing the dyadic Green's functions of Maxwell's equations in layered media, demonstrating their equivalence while highlighting the second formulation's advantages in decoupling interface conditions and facilitating far-field approximations for both electromagnetic and elastic wave equations.
This paper provides a unified pedagogical treatment of the first-passage problem for a Poisson counting process with a linear moving boundary by reconciling time-domain and Laplace-domain approaches to derive new exact analytical results, including an explicit large deviation function and closed-form expressions for the conditional mean first-passage time.
This paper demonstrates that the joint distribution of SYK Hamiltonians with partial interactions converges to a mixed -Gaussian system in the large-system limit, thereby providing a random model for asymptotic -freeness and establishing an isomorphism with graph products of diffusive abelian von Neumann algebras.
This paper establishes a generalized semiclassical analysis framework for flat Hilbert bundles over compact hyperbolic surfaces to derive uniform control estimates and prove observability for the Schrödinger equation on non-compact hyperbolic coverings with virtually Abelian deck transformation groups.
This paper proposes an explicit Poisson vertex algebra as the space of holomorphic-topological observables in pure Seiberg-Witten theory, demonstrating that its Hilbert-Poincaré series refines the Schur index and that its cohomology under a specific differential captures non-perturbative corrections.
This paper utilizes the short-wavelength instability method to demonstrate that exact, upward-propagating nonlinear mountain waves in dry adiabatic flow become linearly unstable when wave steepness exceeds a critical threshold of 1/3, leading to chaotic three-dimensional motion within a specific layer beneath the tropopause.