1695 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 accretion of a collisionless relativistic gas by a rotating Kerr black hole, deriving closed integral expressions for physical observables and demonstrating that while black hole rotation significantly reduces the angular momentum accretion rate, it exerts a smaller, analytically predictable influence on mass and energy accretion rates.
This paper derives an exact kinetic solution for stationary Bondi-type accretion onto a Kerr black hole, providing explicit formulas for mass, energy, and angular momentum accretion rates to analyze black hole growth and spin-down under constant or cosmologically decreasing ambient energy densities.
This paper computes the imaginary part of the phononic excitation spectrum for a homogeneous Bose gas at low temperatures and low momentum in the thermodynamic limit, utilizing two distinct perturbation theory approaches based on the standard Liouvillean to analyze resonances near zero and the 2-point correlation function.
This paper derives discrete equations, including a new one with ternary symmetry, from Bäcklund transformations of the fifth Painlevé equation and constructs hierarchies of their rational solutions using generalized Laguerre and Umemura polynomials, while also demonstrating how nonunique rational solutions of the original equation yield distinct solution hierarchies for the same discrete equation.
This paper derives strengthened Welch bounds that remain sharp for sets of quantum states smaller than exact -designs by exploiting partial transposition constraints, proving that SICs and complete MUBs are optimal approximate 3-designs and providing a variational criterion with numerical evidence against the existence of complete MUBs in dimension 6.
This paper demonstrates that a fourth-order exceptional point (EP4), representing a quantum phase transition where a Hamiltonian loses observability, can be accessed via a unitary evolution within a non-numerically determined physical domain, offering potential applications in non-Hermitian photonics.
This paper proposes a boundary-scattering method to detect higher Berry phases in one-dimensional gapped free-fermion systems by relating higher Berry invariants to the higher winding number of the boundary reflection matrix, offering a robust and experimentally accessible probe for parametrized topological phases.
This paper introduces a family of ground-state solvable many-body systems on graphs where distinguishable continuous-variable particles interact via Jastrow-type wavefunctions determined by the graph's adjacency matrix, leading to parent Hamiltonians that feature both two-body interactions and three-body interactions along graph paths.
This paper establishes sharp pointwise decay estimates for small-data solutions to a weak null wave system, demonstrating that generic solutions exhibit "blowing up at infinity" in energy and an energy cascade from high to low frequencies.
This paper establishes the convergence of eigenvalues from a discretized -dimensional Schrödinger operator to its continuum counterpart under a coupled semiclassical limit governed by a mesh spacing and parameter scaling, while also fully characterizing the spectral asymptotics for the harmonic oscillator across all possible scaling regimes.