3190 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 that in a two-dimensional two-component plasma with logarithmic interaction, charges predominantly form neutral dipoles as the regularization scale vanishes for inverse temperatures , thereby confirming a phase transition at from free charges to dipole pairs through a novel energy analysis based on nearest-neighbor graphs and electric reformulations.
This paper presents the first proof of uniform expansion for strictly convex billiards in the intersection of two circles, marking a pivotal step toward establishing the ergodicity and statistical properties of such systems and confirming the Chen–Mohr–Zhang–Zhang conjecture.
This paper investigates the large-level limit of doubled Chern-Simons theory as a bridge to three-dimensional theory, demonstrating that regular torus states and modular transformations converge to their counterparts while characterizing the resulting boundary theories and gapped interfaces.
This paper formulates and verifies a hypothesis regarding the system of screening charges for the conformal field theories that serve as integrable deformations for -deformed sigma models with odd , extending previous results on models to specific supergroup cases.
The paper demonstrates the existence of a strongly rational vertex operator algebra whose representation theory is equivalent to the braided category formed by the tensor product of the semion category and the Galois-twisted center of Ostrik's Haagerup category, thereby providing a vertex operator algebra realization for a non-unitary Haagerup–Izumi modular fusion category.
This paper proves that for initial data consisting of three point vortices undergoing self-similar collapse, the solution to the two-dimensional Navier-Stokes equations is uniformly approximated by a superposition of Lamb-Oseen vortices with an error of order over a logarithmic time scale as the viscosity approaches zero.
This paper introduces signed Fortuin-Kasteleyn percolation for the random-interaction Ising model to characterize nonzero magnetization and replica overlaps in extremal Gibbs states by establishing an equivalence between these physical quantities and the density distinguishability of specific companion structures derived from parity-retaining infinite FK clusters.
This paper establishes that every smooth, locally CR-embeddable, strictly pseudoconvex three-dimensional CR manifold admits a local smooth Lorentzian quasi-Einstein lift with specific geometric properties for any real cosmological constant, thereby extending previous lifting theorems beyond the real-analytic and Sasakian settings through a proof combining contraction and subelliptic regularity.
This paper proposes a framework using deformed Borel-Laplace resummation to repackaging quantum invariants into analytic invariants, demonstrating the approach through explicit -series expressions for colored Jones polynomials of simple knots, Links-Gould polynomials of the figure-eight knot, and -series related to three-manifold invariants and mock modular forms.
This paper quantifies the resource costs, including contact strength, invasion time, and measurement effort, required to leverage network structure for favoring cooperative lineages over defectors, revealing that the optimal network designs for minimizing these distinct costs differ significantly.