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 investigates the efficiency of minimally invasive pairwise Hamiltonian control in desynchronizing higher-order Kuramoto models, revealing that while higher-order interactions generally impede desynchronization near the synchronized state, they can paradoxically facilitate it at intermediate to large interaction strengths depending on initial conditions.
This paper revisits the variational principle for relativistic perfect fluids using a manifestly covariant differential forms formalism to clarify boundary conditions for timelike flows and demonstrates that extending this principle to null flows dynamically forces the enthalpy density to vanish, resulting in a stress-energy tensor composed of variable vacuum energy and null dust.
This paper utilizes thermal inversion formulas to derive accurate asymptotic expressions for spectral densities and OPE coefficients of heavy operators in a 3D CFT dual to an interacting scalar field in AdS, demonstrating that these analytic results remain quantitatively reliable even at intermediate conformal weights despite bulk interactions.
This paper introduces a new class of integrable vector peakon equations derived from Clifford algebra spectral problems, analyzes their traveling wave solutions and connections to known systems like the Hirota-Satsuma and 2CH equations, classifies all integrable two-component perturbations of the Camassa-Holm equation (including a previously unreported system), and investigates the short-pulse regime and measure-valued solutions for arbitrary component dimensions.
This paper introduces and analyzes the skew column RSK dynamics, a two-dimensional generalization of the box-ball system on pairs of skew semistandard Young tableaux, by proving its solitonic behavior, constructing an explicit bijection that linearizes its time evolution using affine crystal structures, and deriving Greene-type formulas and bijective proofs for Hall--Littlewood polynomial identities.
This paper utilizes the Wigner-Vlasov formalism to demonstrate that the probability current of the Pauli equation decomposes into spin-component-specific fluxes, leading to a new system of Hamilton-Jacobi and motion equations that are applied to analyze quantum kinematics in a uniform magnetic field with an asymmetric quadratic potential.
This paper presents a first direct regularized construction of the unprojected sectors of the Type IIB Superstring torus vacuum by developing sector-resolved modular integrals using an -prescription and -regularization framework, which is subsequently cross-checked via Lorentzian-inversion reconstruction.
This paper introduces Quantum Computing Algebra (QCA), a real geometric algebra framework with a split-signature construction that enables the direct translation of the Dirac formalism into efficient computational implementations using GAALOP, demonstrating practical applications in quantum gate representation and quantum game theory.
This paper demonstrates that within an optimization-driven framework for linearly elastic solids, minimizing the work of external loads causes initially volumetric growth to concentrate into singular surface or interface distributions, thereby providing a variational mechanism for the selection of surface growth over volumetric growth.
This paper provides rigorous counterexamples demonstrating that the wave operators for one-dimensional Schrödinger operators with bounded, compactly supported potentials are unbounded on and in generic cases and specific exceptional cases, thereby completing the characterization of their boundedness.