3242 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 derives and implements a novel set of sheath boundary conditions for drift-kinetic simulations in a linear plasma device using a gyromoment approach, demonstrating that these conditions significantly increase plasma outflow and reduce overall plasma density compared to previous ad hoc methods.
This paper presents a rigorous, coordinate-independent framework for studying junctions in torsional spacetimes by extending distribution theory to curved manifolds with torsion, thereby deriving general differentiability conditions and applying them to Einstein-Cartan-Sciama-Kibble gravity to overcome the limitations of the traditional coordinate-dependent Israel-Darmois formalism.
This paper establishes an isospectral version of the Lieb-Solovej inequality for coherent states, demonstrating that rearranging a density operator's eigenvalues in decreasing order along the monomial basis maximizes convex functionals of its Husimi function and Wehrl entropy, while also proving that spherical caps maximize Ky Fan norms and Schatten sums of Toeplitz operators with indicator symbols, thereby yielding new isoperimetric inequalities without relying on the classical spherical isoperimetric inequality.
This paper introduces a subalgebra within the double affine Hecke algebra of type as a -analogue of the degree zero part of a rational Cherednik algebra, establishes its structural properties including a flat deformation and double centraliser property, and applies these results to derive new integrable generalisations of Van Diejen's Hamiltonians for systems with external Morse potentials and multiple particle types.
This paper establishes the first global existence of strong, positive, and scattering solutions to the space inhomogeneous kinetic wave equation by combining physical space dispersive estimates with novel trilinear bounds and a collisional averaging estimate to overcome the challenges posed by the hard-sphere kernel.
This paper establishes a rigorous -algebraic framework for higher abelian quantum double models on arbitrary finite-dimensional simplicial complexes, fully characterizing their frustration-free ground states via logical operator algebras and identifying conditions under which the model's core algebra forms a Cartan pair to facilitate the classification of equilibrium states.
This paper rigorously derives particle production in a cosmological FLRW background by modeling a long gravitational pulse analogous to the Schwinger effect, utilizing Heun equation connecting formulas to demonstrate that the resulting particle spectrum exhibits a Planckian distribution with a temperature inversely proportional to the duration of the scale change.
This paper proposes a rigorous global geometric definition of locally nongeometric stringy -spaces by formulating them as bicategory-valued stacks within the framework of descent theory, thereby coherently gluing local quasitriangular quasi-Hopf algebra data while preserving their intrinsic noncommutative and nonassociative structures.
This paper establishes a global non-identifiability theorem demonstrating that complete one-period endpoint data of periodically driven quantum systems are insufficient to reconstruct the period-averaged Fubini-Study geometry because the data determine only the monodromy conjugation path while leaving the specific unitary lift, which governs the intra-period geometric evolution, fundamentally ambiguous.
This paper establishes a central limit theorem for the non-centered cavity field in the high-temperature regime of the mean field Ghatak-Sherrington model with spin values , proving that the limiting law of the local field is a random finite mixture of Gaussian distributions with a quantitative error bound derived via the moment method.