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 constructs two inequivalent noncommutative quantum field theories on -Minkowski space using the Batalin-Vilkovisky formalism, demonstrating that a braided -algebra approach yields standard logarithmic divergences without UV/IR mixing, while a classical -algebra approach exhibits a periodic form of UV/IR mixing characterized by non-analyticity on an infinite lattice of exceptional momenta.
This paper establishes a universal finite- framework for Wilson loop expectations in lattice Yang-Mills theory across any dimension and gauge group , revealing that their state-sum expansion factorizes into action-dependent weights and action-independent topological coefficients that can be analyzed through gauge/string expansions, spin-foam models, and master loop equations.
This paper presents a dimension-independent, basis-agnostic closed-form exponential unitary transformation that maps any two pure quantum states using a single generator, eliminating the need for explicit basis constructions required by previous methods.
This paper demonstrates that factorizing differential equations with respect to nonlocal pseudosymmetries yields Bäcklund transformations, which are interpreted as nonlocal -morphisms determined by the basic invariants of those symmetries.
This paper establishes a quantum version of asymptotic velocity domination for polarized Gowdy cosmologies by demonstrating that the two-point functions of Dirac observables converge to their simplified velocity-dominated counterparts near the Big Bang, while the full correlators can be reconstructed as a uniformly convergent series of averaged spatial gradients.
This paper demonstrates that non-Clifford gates essential for universal quantum computation, such as the Ising interaction, Toffoli, and T gates, arise naturally as path integrals in various topological quantum field theories, with their specific magic-generating properties determined by the underlying algebraic data and topological structures of the theories.
This paper establishes a rigorous inverse scattering construction for the Korteweg–de Vries equation with real initial data that is both and summable and supported on the positive half-line, deriving a trace-type representation for the solution via left reflection coefficients and Hankel operators.
This paper demonstrates that Many-Body Gravity (MBG), a modified 5-D gravity theory, naturally reproduces cosmic inflation and resolves time-definition issues in non-interacting universes by utilizing entropic terms and interacting massless scalar fields, all without requiring dark matter.
This paper demonstrates that a fixed-parameter all-to-all Ising spin model exhibits a spectrum of dynamics ranging from integrable to chaotic across its symmetry sectors, which can be mapped to dimension-dependent kicked top models and are shown to remain resilient to noise.
This paper presents a time-dependent extension of logarithmic perturbation theory for nonrelativistic quantum dynamics, which utilizes a gauge-rotated Hamiltonian to derive closed-integral expressions for corrections and instantaneous energy shifts, demonstrating high accuracy and applicability to multi-photon processes through applications to driven harmonic oscillators and hydrogen atoms.