1668 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 the equivalence between Ruhl's analytic definition of Toller matrices and the Feynman prescription in causal spinfoams, demonstrating that these objects can be represented as integrals over boost eigenvalues that reproduce the Wick rotation between Euclidean and Lorentzian spinfoam models.
This paper analytically characterizes 1D Cartesian ambipolar diffusion near null points by deriving stagnation-point flow solutions and nonlinear eigenmodes with sharp current sheets, and validates these findings by demonstrating that the Bifrost MHD code accurately reproduces the predicted self-similar evolution of magnetic flux.
This paper constructs a time-invariant measure on Hamiltonian energy level sets to establish a probabilistic foundation for statistical physics, demonstrating how this measure generates the microcanonical partition function and asymptotically recovers the canonical ensemble, thereby offering an alternative solution to Simon's second problem.
This paper presents a complete Lie symmetry classification of time-fractional telegraph systems with variable coefficients, identifying three distinct symmetry classes and deriving exact invariant solutions in terms of Mittag-Leffler, generalized Wright, and Fox -functions to model transport phenomena with memory and nonlocal effects.
This paper establishes a novel a posteriori error estimation framework for the enriched Galerkin method applied to linear parabolic equations, proving its reliability and efficiency while demonstrating its effectiveness in adaptive mesh refinement strategies.
This conceptual work establishes a unified derivative hierarchy linking force fields and density functional theory by demonstrating how the Born-Oppenheimer energy surface, forces, and nuclear Hessians arise from pulling back the energy functional and its density-based response derivatives from external potential space to nuclear configuration space.
This paper derives an asymptotic equivalent of the free energy and estimates the spin vector mean via an AMP algorithm for a generalized sparse Sherrington-Kirkpatrick spin glass model at high temperatures, adapting dynamical approaches originally developed for the classical SK model.
This work investigates Hamiltonian vortex dynamics on a catenoid and demonstrates that curvature gradients drive a rigid rotation and a secular drift for co-rotating vortex pairs, with numerical simulations confirming a linear instability in symmetric states as well as a reduced dynamics for generic configurations.
This paper investigates the asymptotic distribution of level crossings for random matrix pencils , deriving a deterministic limit for the empirical measure of crossings in complex and real ensembles by connecting spectral degeneracies to logarithmic energy and universality principles analogous to Girko's circular and Wigner's semicircle laws.
This paper resolves the long-standing anomaly of the purely real spectrum of the non-Hermitian Nakajima-Zwanzig projected Liouvillian in the Jaynes-Cummings model by demonstrating its pseudo-Hermiticity under a positive-definite metric, a structural property that persists through bath truncation and extends to the full Rabi model with re-entrant exceptional-point boundaries.