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 the equivalence between path integral and stochastic quantizations for generic scalar Euclidean quantum field theories by providing two novel proofs based on Taylor interpolations indexed by forests: one operating at the level of individual Feynman expansion terms and the other directly at the path integral level without requiring a full perturbative expansion.
This paper establishes a framework of Courant algebroid relations to connect Dirac structures, spinors, and generalised complex/Kähler geometries, demonstrating how these relations induce T-duality in supersymmetric sigma-models and remain compatible with Type II supergravity equations.
This paper characterizes quantum supermaps through the concept of locally-applicable transformations, a definition based solely on sequential and parallel composition that generalizes them to arbitrary monoidal categories and operational probabilistic theories while establishing a one-to-one correspondence with deterministic supermaps.
This paper extends the authors' formalism of elliptic virtual structure constants to encompass hypersurfaces and complete intersections within weighted projective spaces that possess a single Kähler class.
This paper demonstrates that the operator entanglement spectrum serves as a powerful diagnostic tool to distinguish between classical reversible automaton dynamics and fully quantum chaotic dynamics, revealing that the former follows Bernoulli random matrix statistics while the latter follows Gaussian statistics, and showing that introducing a constant number of superposition-generating gates is sufficient to drive automaton circuits into the universal random-circuit chaos class.
This paper reformulates the Chern character in topological K-theory using Fermi points of Fredholm operators to generalize spectral flow and provide elementary proofs for the evenness of the edge index and the bulk-edge correspondence in four-dimensional time-reversal symmetric topological insulators (class AI).
This paper introduces a graded bracket of forms on multicontact manifolds that satisfies a graded Jacobi identity and Leibniz rules, utilizes multisymplectization to connect these structures to multisymplectic geometry for deriving field equations, and applies these findings to analyze observable evolution, dissipation phenomena, and classical dissipative field theories.
This paper revisits the historical development and current research on equations describing pseudospherical surfaces, tracing their evolution from Sasaki's AKNS-influenced works and the contributions of Chern and Tenenblat to modern investigations of Cauchy problems and their geometric implications.
This paper analytically demonstrates that the formation of finite-time singularities in axisymmetric 3D incompressible Euler flows within a cylinder is determined exclusively by the local geometric flatness of the initial vortex stretching rate near its global minimum, with specific power-law thresholds distinguishing between regular solutions and blowup scenarios depending on the singularity's location.
This paper revisits the generalized Segal-Bargmann transform associated with a specific Poisson-type distribution on a scaled lattice, presenting new results on its unitary mapping properties and demonstrating how its study naturally connects to the normal ordering problem in the Weyl algebra.