1992 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 establishes a comprehensive framework for characterizing quantum resources in SU(1,1) systems by constructing covariant quasiprobability distributions on the Poincaré disk, demonstrating that Wigner negativity serves as a definitive witness of nonclassicality for these states, and introducing stellar rank and generalized multipoles as complementary tools for quantifying quantumness.
This paper rigorously derives the measure on the two-dimensional torus as the limit of many-body quantum Gibbs states with general symmetric -body interactions by employing a graphical formalism to systematically organize Wick renormalization-induced lower-order terms and utilizing a uniform logarithmic stability estimate to control these terms via the leading interaction's positivity.
This paper introduces a three-term recurrence relation that efficiently generates explicit higher-order rational rogue wave solutions for the nonlinear Schrödinger equation using smaller determinants, thereby enabling the derivation of seventh-order waves with six arbitrary complex parameters to explore new wave patterns.
This paper proves the existence of a phase transition for the hard sphere model in the hyperbolic plane, resolving a major open problem that remains unsolved for the same model in Euclidean spaces and .
This paper generalizes the construction of Lax pairs and integrability to higher dimensions by utilizing categorified Lie 2-bialgebras and 2-graded Yang-Baxter equations to establish a zero 2-curvature condition for a 3d field theory governed by a higher derived affine Kac-Moody 2-algebra.
This paper bridges stochastic Moran processes and deterministic reaction-diffusion models by deriving partial differential equations for continuous media, revealing how distinct fitness components (fecundity vs. viability) and update rules (birth-death vs. death-birth) fundamentally alter selective wave speeds and establishing a continuous analog of isothermal graphs through local current conservation.
This paper introduces the Cavitation Acoustic Perturbation Equations (CAPE), a unified computational framework that directly embeds cavitation physics into acoustic modeling to accurately predict, localize, and analyze hydroacoustic sources and propagation in multiphase cavitating flows.
This paper demonstrates that while traversable wormholes in Unimodular Gravity and General Relativity share identical geometric and geodesic structures, they are dynamically distinguished by their source sectors, where Unimodular Gravity requires either restricted equations of state or an effective inhomogeneous vacuum contribution to sustain the same geometry.
This paper derives structurally simpler, lower-order coupled difference equations for the recurrence coefficients of orthogonal polynomials associated with oscillatory Jacobi-type weight functions, enabling their computation and the conjecture of their symbolic forms.
This paper numerically investigates random walks in a Dirichlet random environment across dimensions $d=1, 2, and 3$, verifying KPZ-like growth in lower dimensions, confirming a phase transition in , and establishing exact relationships between sample-to-sample variances and extreme diffusion coefficients.