1605 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 utilizes the theory of boundary quadruples to rigorously prove that all contraction semigroups extending the Schrödinger Hamiltonian for a particle in a bounded region are generated by linear absorbing boundary conditions, thereby validating Tumulka's model of irreversible detection and establishing a natural Born rule for detection times.
This paper reveals a simple underlying structure in the strong coupling transseries of SYM observables with a matrix Bessel kernel, providing an efficient method to generate full transseries expansions for quantities like the cusp anomalous dimension and octagon form factor while verifying their resurgence structure through high-precision numerical analysis.
This paper presents a fully relativistic derivation of the elastic response of a thin rectangular plate to gravitational waves, yielding explicit closed-form solutions for induced displacements and energy deposition in materials with a vanishing Poisson ratio, alongside the computation of secondary gravitational wave emission from the oscillating plate.
This paper reviews the concept of Yang-Baxter integrability for constrained anyonic chains, establishes the emergence of Temperley-Lieb algebras in specific cases, and extends the classification of integrable models to various fusion categories up to rank 7 using a modified boost operator formalism.
This paper establishes explicit conditions under which the successive Markovianisation of a positive Radon measure on continuous paths converges to measures satisfying the strong Markov property, demonstrating that translation-invariant measures on locally compact Polish groups fulfill these criteria within a specific set-theoretic framework.
This paper extends the theory of exterior differential systems to transitive Lie algebroids by establishing two versions of the Cartan-Kähler theorem and demonstrating their application to the invariant inverse problem of the calculus of variations.
This paper analyzes the solvability of a discrete nonlinear Schrödinger equation featuring a subcubic potential and specific forward/backward difference operators, assuming positive real parameters and a continuous potential function.
This paper proposes a non-Abelian gauge field framework based on hypercomplex ring formalism that introduces non-compact hyperbolic symmetries to double internal degrees of freedom, thereby enabling the description of bipartite gauge systems and field dissipation while utilizing a commutative ring to decouple algebraic structures and facilitate solutions to the equations of motion.
This paper derives the explicit free energy expansion up to the constant term for determinantal Coulomb gases in quadratic fields with a point charge, identifying the constant term with the Liouville action and utilizing a deformation framework combined with the foliation flow method to extend isotropic results to anisotropic settings.
This paper establishes that the occurrence of "magic relations" in Feynman integrals is intrinsically linked to the presence of higher-dimensional critical varieties, providing a practical computational test to detect these identities, count master integrals, and analyze their behavior under symmetries and cuts.