3307 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 a symplectic isomorphism between the infrared dynamics of strongly coupled scalar field theories and finite-strain bifurcation mechanics, enabling the derivation of a non-perturbative, first-principles rational scaling law for the 3D Ising anomalous dimension by mapping renormalization group flow to the spectral degeneration of a continuous Riccati-Lyapunov system.
This paper demonstrates that while the standard scalar quantum theory on a line with two origins is indistinguishable from the ordinary real line, the theory for spinors with a nontrivial spin structure detects the doubled origin through the necessity of specific boundary conditions at the singular point, revealing that the geometry alone does not uniquely determine the quantum transmission law.
This paper establishes universal bounds on the intersection numbers of BPS string generators in six-dimensional supergravity by combining Zariski decomposition with current algebra embeddings, thereby proving the finiteness of tensor charge intersections up to duality.
This paper derives the first explicit single-variable special function representation of the pair correlation function for the bulk limit of a beta-ensemble beyond the classical values of and $4$, specifically expressing it in terms of Bessel functions for the Sine process.
This paper introduces a multispecies boundary-driven harmonic process on a one-dimensional chain, establishing its connection to an integrable open rational Heisenberg spin chain of higher rank through the derivation of R- and K-matrices and the construction of a double-row transfer matrix, while also defining three associated dual models.
This paper presents a Cartesian grid method that reformulates advection-diffusion equations with Robin boundary conditions on moving domains as interface problems, utilizing local interface corrections to achieve a linearly scalable, mesh-independent solver with proven second-order spatial and first-order temporal accuracy.
This paper formulates a "first quantisation" 1-dimensional AKSZ theory on graphs that reproduces the Feynman graphs of a given AKSZ theory by interpreting gauge-fixing choices as Lagrangian submanifolds defining sewing conditions within the BV-BFV formalism, thereby establishing a bridge between the cohomological structure of and a cyclic -algebra in Weinstein's symplectic category.
This paper utilizes the Schwarzian derivative to formulate and solve differential equations that systematically generate, purify, and relate various two-dimensional spacetime subsets exhibiting thermal particle distributions within the framework of quantum field theory in curved spacetime.
This paper investigates the nonlinear stability and instability of steady states for multidimensional compressible Euler-Riesz equations under general pressure laws by employing techniques such as free energy concavity, concentration-compactness, and relative entropy bounds to establish stability results, quantify finite-time behavior, and prove the global existence of spherically symmetric weak solutions.
This paper proves that for classical particles with stable, tempered, and lower-regular pair potentials, if the Lee-Yang zeros of the grand canonical partition function remain bounded away from a real point in the thermodynamic limit, then the thermodynamic limit and differentiation with respect to the chemical potential commute at , ensuring the uniform convergence of all pressure derivatives and the independence of limiting density and particle-number variance from boundary conditions.