1694 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 demonstrates that sparse random graphs with independent edges can naturally exhibit finite clustering and power-law degree distributions through infinite-mean node fitness and node aggregation invariance, challenging the prevailing view that such structural features require underlying geometry or higher-order dependencies.
This paper establishes the necessary and sufficient conditions for the existence of Schmidt decompositions in multipartite quantum states and provides an efficient algorithm to compute such decompositions when they exist.
This paper generalizes the notion of blobbed topological recursion to settings with non-topological expansions and proves that its differentials satisfy KP integrability when the input blobs are KP-integrable, thereby unifying and providing a new proof for the previously conjectured integrability of non-perturbative differentials.
This paper introduces a novel operator-based framework for laser-plasma wakefield acceleration in capillary discharges that utilizes specific mathematical operators to systematically describe coupled laser-plasma dynamics and invariant subspaces, while integrating neural operator methods to enable efficient reduced-order modeling and predictive control for next-generation accelerator experiments.
This paper proposes a quantum-coherent thermodynamic framework based on "minimum-variance foliation" of state space, introducing a "leaf typicality" hypothesis that extends eigenstate thermalization to non-equilibrium dynamics by demonstrating that local observables are determined solely by a state's leaf label and energy.
This paper establishes rigorous integrability conditions for one-dimensional quantum systems to be classified as free or interacting fermions by defining free fermions through the simultaneous satisfaction of the Yang-Baxter equation and Shastry's decorated star-triangle relation, and provides a procedure to construct integrable interacting models, such as the Hubbard and XY models, via deformations of these free fermionic -matrices.
This paper investigates the admissibility of pre-Lie structures for semisimple Lie algebras over by analyzing anti-flexible algebras and proving that -associative algebras serve as universal pre-Lie structures for any Lie algebra, including semisimple ones.
This paper demonstrates that autoparallel curves associated with torsion-free, non-metric-compatible affine connections can be derived from a variational principle by explicitly constructing an action functional through the systematic solution of the inverse problem of the calculus of variations and the associated Helmholtz conditions.
The paper demonstrates that quantum irreducible flag manifolds satisfy an analogue of the Einstein condition, characterized by the proportionality between the Ricci tensor and the metric, within a small open interval surrounding the classical quantization parameter.
This paper derives a universal large- expression for torus knot invariants in lens spaces by relating them to invariants in , revealing a quiver partition function structure that allows for the direct identification of the underlying quiver associated with these knots.