2656 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 intrinsically flat spacetimes as viable cosmological models for periodic inhomogeneous matter distributions, establishing their geometric foundations, proving the existence and uniqueness of solutions to Einstein's equations under periodic boundary conditions, and presenting exact solutions that transition from early-time homogeneity to late-time structures of peaks and voids.
This paper extends holographic methods for Boundary Conformal Field Theories with multiple boundaries to calculate the time-dependent entanglement entropy of 1+1-dimensional CFTs undergoing multi-splitting quenches, demonstrating that all qualitative features of larger systems are already captured by the case.
The paper proves a new identity for Feynman periods acting on five-vertex cuts of completed primitive Feynman graphs in theory, demonstrating that it is independent of existing identities such as the twist, Fourier, and Fourier split.
This paper investigates the quantification of measurement-based quantum resources by developing distance-based measures and analyzing the mathematical properties and operational connections of -measures, providing a robust framework applicable to both individual and sets of measurements in scenarios with partial information.
This paper demonstrates that the stability of local observables in long-range quantum systems at thermal equilibrium is guaranteed by correlation decay and Lieb-Robinson bounds at high temperatures, with numerical evidence suggesting this robustness extends to broader interaction regimes, thereby supporting the reliability of analog quantum simulators.
This paper presents a geometrical formulation of nonlinear electrodynamics without birefringence, demonstrating that linear perturbations evolve on a field-dependent optical metric, thereby enabling the application of quantum field theory techniques and facilitating the development of analogue models using nonlinear metamaterials.
This paper establishes that a Berwald spacetime is locally concave if and only if its flag curvature is nonnegative in timelike directions, while also providing a new characterization of nonnegative flag curvature through the convexity of future or past capsules.
This paper establishes the global well-posedness and proves the global-in-time convergence, including optimal rates of , of the hyperbolic linear sigma model to its mean-field limit on the two-dimensional torus, while also demonstrating the convergence of their respective invariant Gibbs dynamics.
This paper performs a group classification of a class of (1+2)-dimensional linear partial differential equations for Asian option pricing, identifying an eight-dimensional Lie invariance algebra that allows transformation to the Kolmogorov equation and facilitates the construction of invariant exact solutions through symmetry reduction.
This paper elucidates the connections between auxiliary field formulations of four-dimensional duality-invariant electrodynamics and two-dimensional integrable sigma models by demonstrating that their relationships are governed by Legendre transformations and field redefinitions, thereby establishing correspondences between specific formalisms and extending known families of integrable deformations.