2656 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.
Using the covariant phase space formalism, this paper provides a unified description of noncommutativity in both tensile and tensionless open strings, demonstrating how constant Kalb-Ramond and gauge fields induce boundary-supported symplectic structures that lead to noncommutative endpoint coordinates.
This paper investigates the divergence issues in bilinear products for Schwarzschild black-hole quasinormal modes on hyperboloidal foliations, proposing regularization procedures and flux-based alternatives to define finite orthogonality relations and explicitly compute excitation factors.
This paper establishes a geometric framework using Inönü–Wigner contractions and local slice constructions to prove that non-degenerate relative equilibria and periodic orbits in Hamiltonian systems persist when deforming from the Euclidean plane to constant-curvature surfaces, with specific application to the Newtonian -body problem.
This paper investigates nonautonomous difference equations derived from semi-classical orthogonal polynomials, demonstrating that systems sharing the same Sakai surface type () can be inequivalent due to non-conjugate dynamics and nodal curve constraints, thereby arguing for a refined discrete Painlevé equivalence problem that incorporates group elements and parameter restrictions beyond mere surface classification.
This paper investigates the three-dimensional deformation and bifurcation behavior of inextensible ferromagnetic elastic rods under combined tension, twisting, and magnetic fields by formulating a reduced Hamiltonian system that reveals distinct post-buckling characteristics and localized modes differing between soft and hard ferromagnetic materials.
This paper expands the set of known non-generic solutions to the cubically nonlinear Schrödinger equation by introducing a new family of hyperbolic and rational solutions, building upon previous work that established the non-existence of certain solutions in the general case.
This paper derives the asymptotic first passage time distribution for space-dependent variable-order time-fractional diffusion, demonstrating that the survival probability decays as where is the minimum fractional exponent, a theoretical prediction validated by exact solutions and Monte Carlo simulations that enables the identification of spatially heterogeneous anomalous transport.
This paper constructs Lagrangian correspondences between moduli spaces of rank- Higgs bundles and holomorphic connections on a Riemann surface and specific Hilbert schemes, utilizing transversal bundles to induce divisors and parameters, thereby providing a geometric realization of the Dolbeault geometric Langlands correspondence and a pathway toward its de Rham quantization.
This paper establishes a unified framework connecting Yang-Baxter maps and the independence preserving property by demonstrating that all quadrirational Yang-Baxter maps on possess this property and that most known independence-preserving bijections can be derived from them through specific parameters or limiting procedures.
This paper extends classical spectral functionals defined via the Wodzicki residue from torsion-free Dirac operators to geometries with torsion, demonstrating that their local densities recover fundamental geometric tensors and introducing novel chiral spectral invariants through a grading operator.