3383 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 sharp rigidity and characterization results for complete spacelike linear Weingarten submanifolds with parallel normalized mean curvature and flat normal bundle in locally symmetric semi-Riemannian spaces by employing a Simons-type formula and the Cheng-Yau modified operator under various curvature and analytic conditions.
This paper presents a short-time expansion method for one-dimensional Fokker-Planck equations with spatially dependent diffusion coefficients across general stochastic integral discretization parameters, decomposing the propagator into a closed-form singular term and a regular term computable via a Taylor series with coefficients satisfying ordinary differential equations.
This paper constructs exactly solvable commuting-projector Hamiltonian models for non-chiral 2+1D fermionic symmetry-enriched topological phases, including those with specific 't Hooft anomalies, by defining -graded super fusion categories and characterizing anomalies through violations of fermion-parity conservation in surface -moves and a new obstruction in the pentagon equation.
This paper establishes a p-adic version of the Ghobber-Jaming uncertainty principle for finite-dimensional p-adic Hilbert spaces and extends the result to non-Archimedean Banach spaces by deriving an inequality that bounds the norm of a vector based on its maximum coefficients relative to two orthonormal bases.
This paper proposes a mechanism for controlling magnetic Skyrmion motion by inducing a Skyrmion number current through the anisotropic breathing mode generated by circularly polarized light, offering a low-dissipation alternative to electric currents for efficient Skyrmion manipulation.
This paper explores the ambiguous origins and multifaceted meanings of the term "Big Bang"—coined by Fred Hoyle to mock a theory he opposed—by analyzing the tension between language and scientific reality, comparing Hoyle's Steady State model with modern inflation cosmology, and examining how the label is currently applied to diverse concepts ranging from the initial singularity to popular culture.
This paper presents a unified framework that extends classical stochastic dynamics to the quantum domain by deriving a generalized Langevin equation with symmetric friction and noise, which upon quantization yields Lindblad-type master equations that ensure complete positivity and thermodynamic consistency for open quantum systems.
This paper establishes a unified geometric and analytic framework using renormalized Sobolev orthogonal polynomials to derive stable dimension-reduction theorems and defect expansions for polynomial PDEs on thin annuli, effectively capturing their convergence to one-dimensional dynamics while accounting for anisotropic dispersive and homogenized effects across both integrable and non-integrable systems.
This paper surveys recent progress in defining open enumerative invariants for Landau-Ginzburg models by constructing them as integrals over real orbifolds with corners, while also exploring their connections to topological recursion, integrable hierarchies, and mirror symmetry, and concluding with a list of open problems.
This paper establishes dynamical localization for random scattering quantum walks on arbitrary infinite graphs in the large-disorder regime by proving a general relation between fractional moment estimates and eigenfunction correlators for random unitary operators.