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 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.
This paper proposes that the symmetry category of a 2D quantum field theory with a 0-form -symmetry and 't Hooft anomaly is equivalent to the category of twisted measurable fields of Hilbert spaces over , and demonstrates that its Drinfeld center corresponds to the representation category of a twisted groupoid -algebra, thereby enabling the computation of bulk 3D SymTFT braiding and providing physical examples for both abelian and non-abelian Lie groups.
This paper explores the use of two-parameter quasi-probability densities to identify quantum behavior in states with fractional mean angular momentum, demonstrating that while negative values in these densities can signal quantum superpositions, experimental uncertainty data can also reveal these unique quantum features.
This paper proposes and validates a two-species multiscale model for the Poisson-Nernst-Planck system that accounts for the simultaneous, Coulomb-coupled motion of positive and negative ions interacting with a small-scale surface trap.
This paper theoretically establishes that neural architectures using fixed-point Schrödinger-type dynamics on learned latent graphs are equivalent to global stationary systems on supra-graphs, providing a unified framework that links these models to sheaf-based architectures and ensures complexity is governed by sparse graph geometry rather than dense connectivity.
This work employs simulations of open quantum systems and the theory of quantum optimal control, specifically the Krotov method, to overcome noise-induced limitations in statically coupled exchange surface qubits, and demonstrates that high-precision operations are achievable through optimized experimental designs that surpass conventional Rabi driving.
This paper argues that current macroscopic models for the joint filtration of immiscible liquids, such as the Buckley-Leverett model, are insufficient because they lack microscopic detail, and proposes that exact modeling should instead be achieved through classical Newtonian mechanics and homogenization methods.
This paper constructs the asymptotic gauge charges for the Curtright mixed-symmetry field interpreted as a dual graviton in five-dimensional Minkowski spacetime, revealing a charge algebra that forms an abelian extension of a BMS-like algebra with a higher-spin supertranslation sector when restricted to specific symmetry generators on the sphere at null infinity.