1668 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 that the perturbative Chern-Simons path integral expanded around flat connections forms a horizontal family over the moduli space of flat connections in the BV formalism, enabling the construction of a metric-independent volume form on this moduli space that serves as a 3-manifold invariant.
This work establishes the curvature decay rate as a universal geometric threshold for the coupled Einstein–Maxwell system and demonstrates that decay rates faster than this value lead to compact perturbations, whereas a decay rate exactly at triggers delocalization of the essential spectrum as well as the emergence of gravitational and electromagnetic memory.
This paper constructs a universal logic representing the event space of a -times repeated experiment for any general orthocomplemented complete lattice , extending the classical Boolean result to non-distributive logics and defining tensor products for families of such lattices.
This paper investigates topological defects in non-unitary conformal field theories by constructing impurity models and defect operators within restricted solid-on-solid lattice systems, where numerical computations of energy spectra and thermodynamic properties are validated against analytical predictions and used to analyze renormalization group flows.
This paper identifies the rank two Jacobi algebra as the dynamical algebra of the generic quadratic superintegrable model on the two-sphere, enabling an algebraic derivation of its exact solution and wavefunctions expressed in terms of two-variable Jacobi polynomials.
This paper establishes the first part of a six-paper series presenting an operator-algebraic framework that derives special relativity from non-relativistic quantum mechanics by analyzing the photon sector of free QED, distinguishing the roles of constants and , and proposing the "SR-selection conjecture" which posits that the transition to a relativistic Haag-Kastler net is structurally obstructed in the Galilean case.
This paper proves that the standard Galilean Haag--Kastler axioms, when augmented by Bargmann mass superselection, are fundamentally incompatible with the Reeh--Schlieder property, thereby establishing a definitive structural distinction between relativistic and Galilean algebraic quantum field theories.
This paper extends the known absence of Reeh-Schlieder and Tomita-Takesaki modular flow in Galilean algebraic quantum field theory to curved Newton-Cartan backgrounds by demonstrating that the limit of the free Klein-Gordon field yields a Galilean net where the gravitational potential influences the Hamiltonian but fails to restore the modular structure obstructed by the Bargmann central charge.
This paper establishes central limit theorems for the linear eigenvalue statistics of various random matrix models with exploding moments, including elliptic, centrosymmetric, circulant, and inter-correlated block matrices, by utilizing an asymptotic Wick formula.
This paper demonstrates that the associativity condition of the universal symmetric 2-valued group defined by the Buchstaber polynomial unifies diverse mathematical fields by revealing its equivalence to the Chazy equation, Gauss-Manin connections, Dubrovin-Frobenius structures, and the quantum Yang-Baxter equation.