2619 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.
Motivated by examples of Joyce structures, this paper constructs Joyce structures and provides a new geometric description of hyper-Kähler metrics on moduli spaces of meromorphic quadratic differentials on the Riemann sphere by analyzing the isomonodromic deformations of second-order linear ODEs with rational potentials.
This paper constructs a family of metric-deformed gauge theories by introducing a -Dirac operator and a corresponding deformed covariant derivative dependent on spacetime-varying metric components, thereby establishing a mathematical framework for -deformed Yang-Mills and fermion interactions.
This paper proves the completeness of the Klein-Gordon oscillator eigenfunctions in one and three spatial dimensions by utilizing the closure relations of Hermite and generalized Laguerre polynomials, alongside spherical harmonics, demonstrating that the scalar nature of the field simplifies the proof compared to the Dirac oscillator.
This paper resolves a question by Chernov, Kinlaw, and Sadykov by proving that globally hyperbolic spacetimes can be refocusing without being strongly refocusing, while also demonstrating that Legendrian refocusing spacetimes admit strongly refocusing metrics.
This paper employs the Lie symmetry method to identify specific source functions that allow a generalized Fisher equation with exponential diffusion in cylindrical coordinates to possess symmetries beyond time translation, and subsequently derives the corresponding reduced ordinary differential equations.
This paper establishes a perturbative framework for the Lorentzian Wetterich Renormalization Group flow within perturbative Algebraic Quantum Field Theory on curved spacetimes, deriving beta functions for interacting scalar and Dirac fields, exploring connections to stochastic dynamics, and proving the local well-posedness of the resulting flow equations using the Nash-Moser theorem.
This paper establishes a higher genus crepant resolution correspondence between the Gromov-Witten theories of the canonical bundle and the orbifold for arbitrary by proving the finite generation of their potentials and constructing an isomorphism between their associated polynomial rings.
This paper introduces the Quantum Circuit Overhead (QCO) as a metric for evaluating the efficiency of finite universal quantum gate sets and demonstrates through numerical analysis that the standard T gate is a highly non-optimal choice for completing the Clifford group compared to other order-8 gates.
This paper proposes a new time-dependent non-equilibrium representation of the Schrödinger algebra to predict scaling functions for single-time and two-time correlators in systems with dynamical exponent , and validates these predictions through tests on several exactly solvable ageing models.
This paper derives the generic scaling forms of single-time and two-time correlators in non-equilibrium phase-ordering kinetics with dynamic exponent by establishing a new non-equilibrium representation of the Schrödinger algebra and utilizing the covariance of four-point response functions.