2670 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 presents a novel structure-preserving framework for the Vlasov-Poisson-Landau system that combines particle-in-cell discretization with discrete gradient time integrators to guarantee the conservation of mass, momentum, and energy while preserving entropy production monotonicity in both continuous and discrete settings.
This paper explores the advantages of deferring measurement choices in quantum information processing, revealing that the benefits depend critically on assumptions about future decisions, ranging from scenarios with no added cost to those where partial deferral is equivalent to full deferral.
This paper presents a systematic small- expansion of the Liouville DOZZ three-point structure constant for light operators, deriving closed-form expressions for the perturbative coefficients as symmetric polynomials to provide a practical tool for calculating loop-level corrections in celestial holography.
This paper investigates relativistic modulational instability in magnetized plasma driven by strong laser pulses, deriving a nonlinear Schrödinger equation to analyze the maximum growth rate and dynamics of wave dispersion, intensity dependence, and damping effects using perturbation techniques.
This paper introduces a nonlinear -deformed Schrödinger equation derived from a parameter-dependent derivative operator, demonstrating its conservation laws, solvability for free particles, and solitonic behavior in one dimension while consistently recovering standard quantum mechanics as approaches 1.
This paper employs conformal bootstrap techniques to derive analytical expressions for two-point functions of bulk fields in critical loop models on the upper-half plane, specifically determining two-point connectivities for the Fortuin-Kasteleyn random cluster model under free and wired boundary conditions and validating these continuum predictions against lattice numerics through universal amplitude ratios.
This paper evaluates and implements three strategies—naive domain truncation, Dirichlet-to-Neumann (DtN) maps, and multipole expansions—for handling unbounded domains in parallel finite-element simulations of planetary gravitation using the MFEM package, demonstrating that while truncated meshes with coarsening are viable, DtN and multipole methods offer superior accuracy and cost-efficiency for large-scale geophysical modeling.
This paper establishes a formal integration theory for complete Rota-Baxter Lie algebras by demonstrating their correspondence to Rota-Baxter groups via the Baker-Campbell-Hausdorff formula and the post-Lie Magnus expansion, while also showing how to derive graded Rota-Baxter Lie rings from filtered Rota-Baxter groups.
This paper introduces a model of Dirac-Bianconi driven oscillators that couple topological signals on nodes and links within higher-order networks, utilizing phase reduction to analyze their synchronization dynamics beyond traditional node-based paradigms.
This lecture notes paper introduces the PDE-based theory of mixing for incompressible flows by exploring Lagrangian and Eulerian perspectives, defining mixing scales, establishing universal lower bounds on mixing time evolution in both smooth and Sobolev settings, and discussing recent results on the sharpness of these bounds and their implications for flow regularity.