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 the spectral properties of a one-dimensional quantum particle with a jump-discontinuous mass profile, revealing that scale-free boundary conditions lead to highly erratic eigenfunctions and an infinite variety of distinct semiclassical limits.
This paper investigates three-dimensional partition functions derived from tetrahedral -operators, establishing connections between the case and tensor Schur polynomials (leading to new identities and applications in the multispecies TASEP) and the generic case and -deformed loop elementary symmetric functions.
This paper improves upon previous polynomial bounds for joint eigenfunctions in quantum integrable systems by establishing a sharp pointwise bound of for points satisfying a rank non-degeneracy condition.
This paper investigates the series representations of -fold Mellin-Barnes integrals used to derive off-diagonal asymptotic expansions for operator functions on curved backgrounds, providing a physical interpretation of these series in terms of UV and IR properties.
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.