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 establishes a generalized Birkhoff theorem for 2+2 direct product spacetimes in Weyl conformal gravity sourced by separated electromagnetic and Yang--Mills fields, demonstrating the existence of two commuting Killing vectors to derive general solutions and analyze their geometric and physical properties through conformal equivalence.
This paper establishes a central limit theorem for the type of the leader (rightmost particle) in a multi-type totally asymmetric simple exclusion process with step initial conditions, while also revealing unexpected connections to voter and coalescing processes to derive their asymptotics and analyze related multi-particle observables.
This paper utilizes a fermionic formulation and contour-integral approach to derive an exact analytical formula demonstrating that finite-size corrections to the crosscap overlap in the two-dimensional Ising model decay exponentially, with the decay constant determined by the complex singularity structure of the Bogoliubov angle.
This paper presents a unified formulation of higher gauge theory using generalized forms to develop a calculus for higher algebras and groups, describe gauge structures for types N = 1 and 2, and derive action functionals for higher Chern–Simons and Yang–Mills theories.
This paper establishes that the center of the affine Lie superalgebra at the critical level is generated by coefficients of a specific pseudo-differential operator, identifying it with a Heisenberg coset of the regular W-superalgebra and deriving a character formula linked to plane partitions with a pit condition.
This paper introduces the synchronization zeta function for pairs of self-maps on topological spaces, deriving explicit growth formulas for synchronization points on compact Abelian groups, establishing Gauss congruences and asymptotic behaviors under rationality assumptions, and exploring connections to topological entropy and Reidemeister torsion.
This paper constructs a quantum Schwinger-Keldysh effective field theory for diffusive hydrodynamics that enforces fluctuation-dissipation relations via KMS symmetry to reveal intrinsically non-Gaussian noise, ultimately deriving quantum corrections to density-density correlation functions that generalize hydrodynamic long-time tails to all orders in .
This paper applies the novel renormalization arguments and quadrichotomy framework introduced by Duminil-Copin and Tassion to the non-self-dual dilute Potts model, characterizing its four possible behaviors (subcritical, supercritical, critical discontinuous, and critical continuous) through a high-temperature expansion of the loop measure.
This paper identifies a universal set of exact integrals of motion for systems driven by homogeneous isotropic stochastic flows, which describe the evolution of transported (hyper-)surfaces through local surface densities independent of specific flow statistics.
This paper introduces and validates new nontrivial stochastic identities for random isotropic second-rank tensor fields, which serve as statistical markers for isotropy in turbulent flows of any nature, including cases with axial symmetry.