3366 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 introduces and studies multiplicative Ehresmann connections for Lie groupoid fibrations, establishing existence criteria for specific classes of submersions and characterizing the completeness of these connections in relation to the underlying bundle structures.
This paper generalizes McCann's seminal work by characterizing timelike Ricci curvature lower bounds in globally hyperbolic spacetimes through the convexity of relative entropy along geodesics derived from a new class of Orlicz-type Lorentzian optimal transport problems.
This paper introduces a strong notion of sign-balance for eigenfunctions and proves that random Laplace eigenfunctions (such as spherical harmonics and band-limited waves) are sign-balanced above a precisely determined, near-optimal scale with high probability.
This paper proves that using a Schur-complement terminator in truncated hierarchical equations of motion (HEOM) for finite-dimensional systems ensures spectral convergence and prevents the emergence of spurious unstable modes as the truncation depth increases.
This paper derives a Hamiltonian structure for three-dimensional, two-layer stratified Euler fluids through a reduction process, demonstrating that the resulting effective 2D models correspond to the Kaup-Broer-Kupershmidt-Boussinesq and Kadomtsev-Petviashvili equations under specific approximations.
This paper proposes a new geometric framework for multiple zeta values based on "non-linear" determinantal integral representations, connecting them to diverse fields such as tropical geometry, Feynman integrals, and the reduction theory of quadratic forms.
This paper presents a microscopic derivation of a -symmetric non-Hermitian sine-Gordon effective theory from a nonequilibrium spin-boson system using Keldysh functional integrals, establishing a precise dictionary between microscopic parameters and effective couplings to demonstrate that the resulting renormalization group flow, exceptional point physics, and bound-state spectrum align with established non-Hermitian sine-Gordon results.
This paper derives an effective model on a non-simply connected domain from the Ginzburg–Landau theory in a planar simply connected domain under a strong, compactly supported magnetic field, revealing oscillatory phenomena characteristic of the Little-Parks and Aharonov–Bohm effects.
This paper develops a discrete Euler-Poincaré reduction framework for mechanical systems with advected parameters and additional dynamics using group difference maps, extends the Kelvin-Noether theorem to this discrete setting, and demonstrates the method's effectiveness in preserving geometric properties through applications to underwater vehicle dynamics and numerical simulations.
This paper demonstrates that non-reciprocal higher-order interactions on m-directed hypergraphs facilitate the emergence of chimera states over a broader parameter range and enable new dynamical patterns not observed in reciprocal or pairwise systems, a finding validated through numerical simulations and phase reduction theory.