3210 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 presents a -module approach to constructing canonical differential equations for Feynman integrals directly from their Schwinger-representation GKZ hypergeometric systems, utilizing Frobenius bases and rational variable changes to achieve a reduced -form description with a basis dimension determined by the holonomic rank.
This paper resolves the final open case of the relationship between Schottky and super Schottky ideals by proving that for genus 4, the smallest power such that the -th power of the Schottky ideal is contained in the super Schottky ideal is , achieved through a rank analysis of the codifferential of the super period map involving degeneration to a vanishing theta-null and first-order deformation calculations.
This paper employs the quantum separation of variables method to analyze the Heisenberg XXX spin chain with twisted periodic boundary conditions and a defective twist matrix, demonstrating that generalized eigenvectors are characterized by a novel "Jordanian TQ equation" and that their wavefunctions in the separated basis are expressed as sums over weak compositions rather than simple products.
This paper establishes a complex-analytic interpretation of topologies on the symmetric tensor algebra of a nuclear DF-space as algebras of bounded Fréchet holomorphic functions on its strong dual, thereby linking strict deformation quantization to the theory of infinite-dimensional holomorphy and providing new criteria for holomorphy and completeness.
This paper demonstrates that hidden kinetic correlations, which remain invisible to standard thermodynamic diagnostics like mean dissipation and stationary states, fundamentally control the collective phases of entropy-conditioned histories by converting hidden driven cycles into effective interactions that determine whether systems exhibit segregation, fluctuating states, or critical susceptibility.
This study investigates a stratified Bickley jet confined between walls, revealing that short-wavelength instabilities induce persistent mean flow asymmetry while long-wavelength coherent structures radiate internal gravity waves that significantly reduce jet velocity, ultimately demonstrating that certain viscous instabilities and nonlinear structures can persist even above the Miles-Howard stability criterion.
This paper employs a differential algebraic framework to resolve the finite-time blow-up paradox in boundary layer models by distinguishing the saturation monoids of Prandtl and Leray- systems, thereby enabling the derivation of Taylor expansion coefficients near the wall when the Helmholtz operator is applied.
This paper provides a complete classification of the existence of finite-dimensional quantum solutions to inconsistent linear constraint systems, proving that such solutions exist if and only if the dimension and , while demonstrating that no such gap exists for odd prime moduli in lower dimensions.
This paper investigates how real and complex Hadamard matrices generate distinct probability distributions for superposed input states and exhibit nearly isomorphic Topological Structure of Superpositions (TSS) graphs, offering potential applications for developing quantum algorithms and amplitude amplification without manual parameterization.
This paper surveys the characterization of the Null Energy Condition via optimal transport, extending the equivalence between energy conditions and entropy concavity from smooth spacetimes to non-smooth settings through a synthetic framework that yields new results on singularity theorems and area laws.