3210 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 direct geometric link between finite-dimensional Kuramoto systems and their continuum limits by performing a spectral analysis of equilibria, explicitly describing the unstable manifolds of incoherent states, and proving their convergence to the Ott-Antonsen manifold under the -Wasserstein metric.
This paper establishes the uniqueness of solutions to the Kähler-Yang-Mills equations on Kähler manifolds with discrete automorphism groups and the boundedness from below of the -K-energy functional by deriving a new formula for the latter and employing Chen's -geodesic equation alongside a newly introduced coupled J-equation.
This paper introduces the differential geometry of noncommutative algebras equipped with a triangular Hopf algebra representation and develops a new Cartan calculus approach to prove the equivalence of global formulations for the first and second Bianchi identities regarding curvature and torsion in arbitrary connections.
This paper establishes a geometric framework linking Fu and Nijhoff's direct linearization scheme to the Sato Grassmannian, demonstrating that the evolution of specific matrix elements corresponds to affine coordinates of the Grassmannian and that extending this system with negative flows yields an equivalence to the two-component KP hierarchy while providing a geometric interpretation of the Cauchy matrix approach.
This paper establishes a new identity expressing an antisymmetrizer as a determinant, thereby proving a conjecture by Lukas Riegler and one of the authors, while also proposing a tailored version of a conjecture by Colomo and Pronko to aid in its resolution.
This paper establishes the existence of global weak solutions for a thermodynamically consistent bulk-surface Navier-Stokes-Cahn-Hilliard system describing two-phase flows with moving contact lines and mass transfer, and demonstrates that these solutions converge to the Abels-Garcke-Grün model in the simultaneous high-friction and decoupling limit.
This paper demonstrates that a Physics Attention Transformer surrogate model can rapidly and accurately predict vertical instability growth rates and perturbed current densities for Alcator C-Mod and SPARC equilibria, outperforming traditional operator-based machine learning models while meeting the latency requirements for real-time plasma control.
This paper establishes near-critical bounds on the truncated two-point function for the Ising model in dimensions , proving that the associated mass scales as by combining recent results at zero field with an interpolation argument based on the random current representation.
This paper constructs a generalized gauge theory based on principal bundles with a Lie group bundle action by introducing multiplicative Yang-Mills connections and modifying the curvature definition to accommodate a curved connection on the structure group, thereby extending classical gauge theory to include curved geometries and providing a classification of such theories through examples like the Hopf fibration.
This paper conjectures and numerically verifies that the Mayer series coefficients for dimer gases on various regular bipartite lattices follow a specific asymptotic exponential form, while also exploring connections to renormalization group theory, Ising model susceptibility, and the properties of partition and prime number functions.