1605 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 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.
This paper classifies the sparse set of Fano and reflexive polytopes arising from quasi-finite Feynman integrals, demonstrating their intrinsic connection to Calabi-Yau varieties through the geometric structures encoded by Symanzik polynomials.
This paper investigates the connection problem for a class of -th order linear differential equations related to the quantum Toda chain, deriving quantization conditions based on monodromy data that validate predictions from topological string/spectral theory duality for deformed Schrödinger operators.
This paper proposes a topology-aware postprocessing framework that utilizes persistent homology to automatically determine optimal thresholds for qualitative acoustic inverse scattering indicators, thereby enabling robust reconstruction of scatterers with complex topologies like multiple components or holes.
This paper establishes a rigorous functional-analytic framework for the data-driven stress problem under purely homogeneous normal Neumann boundary conditions, proving the existence and uniqueness of solution equivalence classes by leveraging the topological properties of the divergence operator and the proximinality induced by finite experimental data sets.
This paper proposes a testable, Halilsoy-inspired extension to the standard Newtonian lunar tidal model that introduces an alpha-dependent off-diagonal residual component, which rotates the tidal eigenframe and generates a distinct 45-degree cross-tidal signature absent in the classical diagonal tensor description.