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 investigates the first-passage properties of a jump process with constant drift and arbitrary light-tailed distributions, identifying three distinct regimes (survival, absorption, and critical) and deriving explicit expressions for exponential decay rates, algebraic decay, and asymptotic behaviors of mean first-passage times and variances.
This paper presents a geometric formulation of quantum mechanics that extends the standard Kähler framework by coupling the symplectic structure of projective Hilbert space to a metric-affine background, resulting in a mathematically consistent, deformed Hamiltonian dynamics where curvature and torsion induce specific corrections to quantum evolution and geometric phases.
This paper demonstrates the integrability of a generalized multivariable Painlevé-II equation with symmetry breaking, utilizing a Lax pair and the exact solution of the Demkov-Osherov model to derive connection formulas for asymptotic solutions and apply them to the precise scaling of excitations in unstable vacuum decay during second-order phase transitions.
This paper establishes moment bounds for weighted degrees on random Delaunay triangulations derived from stationary point processes, demonstrating how these integrability properties ensure the well-definedness and key characteristics of symmetric simple exclusion processes while extending construction results to non-symmetric cases under specific dependence and boundedness conditions.
This paper introduces a fractional generalization of Tsallis entropy using the -Caputo operator to derive a closed series representation involving the -Gamma function, demonstrating that the standard entropy is recovered as the fractional order approaches one and analyzing the parameter domains where the resulting entropy remains non-negative.
This paper investigates the Dirac operator on a finite warped cylinder with a gauge field by characterizing the APS boundary spectrum, demonstrating the vanishing of the APS index in the invertible constant-gauge case, and introducing a regularized self-adjoint boundary condition that ensures continuity across spectral crossings to enable a consistent spectral flow analysis within the Maslov framework.
This study proposes and validates through a mathematical stability analysis and experimental data that dryout inception in two-phase CO2 annular flow within microchannels is triggered by liquid-vapour interface instability, identifying a critical vapour quality threshold () that governs this phenomenon.
This paper reorganizes exact density-functional theory into two parallel variational hierarchies rooted in Lieb's interacting and exact ensemble noninteracting formulations, clarifying their relationship to the Kohn-Sham construction and unifying concepts like fractional particle numbers and derivative discontinuities within a single framework.
This paper applies deformation quantization to an oscillator system with second-class constraints in a deformed fermionic phase space by utilizing the Dirac bracket to define the star product, subsequently deriving the system's energy levels, Wigner functions, and deformation-induced entanglement entropy.
This paper identifies three explicit families of non-degradable and non-PPT states that possess a single-letter formula for one-way distillable entanglement by introducing weakened degradability conditions, establishing stability for orthogonally flagged mixtures, and proposing a generalized spin-alignment principle for entropy minimization.