3210 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 challenges the assumption that rapid mixing in open quantum systems is inherently stable by demonstrating that it can be destroyed by arbitrarily weak local perturbations, while simultaneously establishing sufficient conditions under which rapid mixing remains robust.
This paper demonstrates that collectivity, arising from many weak nonlocal interactions, serves as a fundamental mechanism that constrains many-body quantum entanglement to logarithmic or subextensive scaling even in the absence of spatial locality.
This paper establishes that autonomous self-harmonic drift in Langevin dynamics effectively compactifies the underlying domain of Stochastic Localization from Euclidean space to an -dimensional sphere, thereby revealing a deep structural connection between the two frameworks that could broaden the applicability of Stochastic Localization.
This paper utilizes twisted de Rham cohomology to demonstrate that gauge and T-duality Ward identities for D-brane disk amplitudes involving one Ramond–Ramond and two NSNS states admit twisted-exact representatives, revealing that the complete family of integrals spans a five-dimensional subspace of the top twisted cohomology at generic kinematics.
This paper investigates a delayed one-dimensional swarmalator model with a common intrinsic frequency, revealing that the inability to eliminate the frequency via a rotating-frame transformation induces multistability, including the coexistence of asynchronous, synchronized, and phase wave states, as well as persistent oscillations in order parameters.
This paper investigates the eigenvalue statistics of antisymmetrised and Hermitised matrix product ensembles by constructing combinatorial ribbon graphs and constellations to enumerate their mixed cumulants and deriving loop equation characterizations for their generating functions in the case of order .
This paper argues that the Black-Scholes formula is not the unique solution to the corresponding boundary-value problem, as infinitely many functions satisfy the partial differential equation and terminal condition, thereby challenging the law of one price.
This paper establishes that the negative -spin tautological relations are consequences of Pixton's $3$-spin relations, thereby proving their validity in the tautological Chow ring of through an analysis of limiting behaviors in Cohomological Field Theories.
This paper establishes that BRST anomalies possess a classical phase space shadow by demonstrating that both the classical non-equivariance of Hamiltonian symmetry actions and the quantum BRST anomaly are distinct realizations of the same underlying Weil transgression class within a newly introduced Weil covariant phase space bicomplex.
This paper proposes a novel framework utilizing the Offset Linear Canonical Transform (OLCT) to solve delay differential equations by converting them into Volterra-type integral equations, demonstrating through analytical and numerical results that this approach offers enhanced accuracy and effectiveness compared to traditional Fourier transform methods.