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.
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 Quantum Spatial Best-Arm Identification (QSBAI), a framework leveraging quantum walks to solve the best-arm identification problem in graph-constrained bandits by encoding spatial restrictions into superpositions and extending amplitude amplification techniques to general graph structures.
This paper establishes Anderson localization for a hierarchical Anderson-Bernoulli model on the -dimensional integer lattice with arbitrary dimension, utilizing a geometric hierarchical structure combined with i.i.d. Bernoulli random variables, and further demonstrates the applicability of its method to proving a probabilistic unique continuation result on .
This paper investigates quantum sensing protocols utilizing Haar random unitary gates within Floquet chaotic dynamics, demonstrating that while asymptotic precision scales linearly (shot-noise limit) in large Hilbert spaces, non-asymptotic regimes offer quantum advantages, and it further establishes that Floquet random quantum circuits effectively mimic global unitary operators in the limit of large local dimensions.
This paper establishes a discrete-to-continuum limit via -convergence for atomistic systems with rigid interactions, demonstrating that the resulting continuum energy concentrates on grain boundaries and decomposes into twice the solid-vacuum transition energy due to the energetic unfavorability of solid-solid interpolating layers.
This paper presents a canonical analysis of the Holst model for General Relativity with the Barbero parameter set to and unconstrained lapse and shift functions, deriving a complete system of 37 equations that confirms consistency with standard Einstein dynamics while revealing new differential constraints dependent on gauge choices, thereby establishing a viable foundation for extending Loop Quantum Gravity to dimensions beyond .
This paper constructs and proves the compatibility of Orlov-Schulman symmetries for the self-dual conformal structure hierarchy, illustrating their properties through examples like Galilean transformations and scalings while presenting a dressing scheme formulation based on the Riemann-Hilbert problem.
This paper investigates non-Kähler SYZ mirror symmetry for solvmanifolds by establishing the correspondence between supersymmetric cycles via Fourier-Mukai transforms, deriving Lie-theoretic criteria to construct and classify explicit mirror pairs from almost abelian and nilpotent Lie groups, and elucidating the role of Tseng-Yau cohomology through its connection to noncommutative geometry.
This paper employs the Riemann–Hilbert approach and the Deift–Zhou nonlinear steepest descent method to analyze the long-time asymptotics of the focusing nonlinear Schrödinger equation with finite-genus algebro-geometric initial data, revealing that odd-genus backgrounds yield leading-order behavior described by the second Painlevé transcendent while even-genus backgrounds are characterized by parabolic cylinder functions.