2255 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 develops a unified variational framework that extends Hamilton's principle to compressible fluid shocks by introducing localized action contributions interpreted as dissipation potentials, thereby deriving Rankine-Hugoniot conditions for mass, momentum, and energy directly from unrestricted variations.
This paper establishes general sufficient conditions for zero velocity and the absence of ballistic transport in one-dimensional quantum walks with position-dependent coins, utilizing sparse site sequences and local coin parameters to derive deterministic criteria that remain valid even in the CMV setting.
This paper investigates the complexity of TAP states in Ising spin glasses by formulating three conjectures linking their enumeration to the Legendre transform of Parisi-based functionals and establishing a lower bound on the annealed complexity that supports these predictions.
This paper investigates instanton counting in four-dimensional supersymmetric gauge theories on the blow-up of by modeling the moduli space as a quiver variety with stability parameters, characterizing contributions via super-partitions to analyze wall-crossing phenomena and explicitly reproduce the Nakajima-Yoshioka blow-up formula.
This paper presents an analytic formula for determining a surface current distribution on a winding surface that, when combined with the plasma's internal current, exactly reproduces a prescribed plasma equilibrium magnetic field while allowing for adjustable toroidal complexity in the current.
This paper develops an exact path integral formulation for finite-dimensional quantum systems in discrete phase space, deriving a sum-over-paths propagator that captures full entanglement dynamics through coherent contributions from all fluctuation sectors, thereby overcoming the limitations of single-sector approximations and providing a framework for semiclassical simulation and non-classicality characterization.
This paper employs harmonic analysis to express -deformed CFT partition functions in terms of Maass waveforms, enabling efficient numerical computation and proposing a natural analytic continuation that extends the partition function beyond the Hagedorn singularity for any deformation parameter.
This paper derives three new asymptotic models for collision-free plasmas in magnetic fields, establishes their well-posedness in Sobolev spaces, and demonstrates the existence of wave-breaking solutions for a unidirectional model related to the Fornberg-Whitham equation.
This paper investigates the resurgent structure of Walcher's real topological string on general Calabi-Yau manifolds by deriving trans-series solutions and explicit multi-instanton amplitudes, revealing that integer disk-counting invariants manifest as Stokes constants, with results experimentally verified for local .
This paper introduces a discrete cobordism category for nested manifolds, derives its generators and relations via stratified Morse theory, and establishes a correspondence between functors on the "striped cylinder" subcategory and algebraic structures like Temperley-Lieb algebras and cyclic objects, while also proposing novel algebraic constructions such as a doubling mechanism and a cylindrical bar construction.