1647 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 investigates the scattering and confining properties, including bound states and resonances, of the one-dimensional Dirac equation with a general relativistic contact interaction supported on two symmetric points, utilizing a distributional method to analyze parity-symmetric configurations and their critical states.
This paper employs the multiscale loop vertex expansion to construct cumulants for the quartic tensor field theory known as the model, proving their analyticity and Borel summability up to a finite order.
This article establishes the propagation of chaos and provides explicit convergence rates for the mean-field limit of Mixture-of-Experts models trained via gradient flow by proving their asymptotic convergence to a nonlinear continuity equation and applying these results to neural quantum networks.
This paper introduces a three-dimensional quantum field theory featuring an infinite-dimensional topological-holomorphic symmetry that generalizes Wess-Zumino-Witten chiral symmetry, demonstrating that its local operators form a raviolo vertex algebra to extend two-dimensional conformal field theory methods into three dimensions.
This paper utilizes Frobenius recursion relations to rigorously establish the growth and alternating sign behavior of rank-2 quasi-character coefficients in the intermediate energy regime, thereby providing a practical method to construct admissible partition functions for rational conformal field theories via the holomorphic modular bootstrap.
This article proposes a globally convergent, variation-based framework that automatically determines the number of intrinsic mode functions in Variational Mode Decomposition by formulating spectral peak detection as an optimal curve-cutting problem, which is solved via a dual-ascent method for a fourth-order boundary value problem to provide a theoretically grounded initialization procedure.
This paper demonstrates that non-orientability imposes intrinsic global topological obstructions on the existence of signature-changing semi-Riemannian metrics, specifically proving that the radical of such metrics cannot be everywhere transverse to the signature-change locus on compact non-orientable surfaces.
This paper derives quantum filtering equations for open systems subject to squeezed noise inputs by employing Bogoliubov transformations, Araki-Woods representations, and Tomita-Takesaki theory to ensure the resulting filter is representation-independent.
This contribution presents a total Lagrangian finite element framework for multibody dynamics under large deformations that integrates a compact kinematic representation, a formulation based on the deformation gradient, and a systematic constraint methodology to model the equations of motion for assemblies of deformable bodies under various loads and material models.
This paper demonstrates that in a PT-symmetric open dimer, causality acquires a topological charge at the exceptional point, causing a pole to migrate into the upper half-plane and inducing a sharp, measurable violation of standard Kramers-Kronig relations that scales inversely with the distance from the critical gain-loss threshold.