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 disproves the Rényi area-law conjecture for all in dimensions two and higher by constructing gapped, finite-range Hamiltonians whose unique ground states obey a von Neumann area law while exhibiting volume-law Rényi entanglement due to error-space complexity.
This paper introduces a non-intrusive framework that computes balancing-based oblique projections from forward simulation data to learn reduced-order models via Operator Inference, significantly outperforming traditional orthogonal projection methods in accuracy for systems with large transient energy growth.
This paper introduces and analyzes type and trigonometric weight functions arising from integrable lattice models as -deformations of factorial -theoretic Schur - and -functions, deriving their algebraic properties, recursive relations, and orthogonality formulas through the Yang-Baxter equation and partition functions of six-vertex models with triangular boundary conditions.
This paper proves that for singular Schrödinger operators with an attractive interaction on a star graph, the ground-state eigenvalue is uniquely maximized by stars exhibiting maximum symmetry, demonstrated through two distinct methods involving comparison with interactions and the Birman-Schwinger technique.
This study utilizes two- and three-dimensional direct numerical simulations to characterize the three-phase evolution of planar intrusions from a narrow source in a linearly stratified ambient, revealing that while the flow transitions from a laminar vortex dipole to a buoyancy-controlled wedge, three-dimensionality significantly enhances near-source entrainment, allowing the downstream intrusion to collapse onto a wide-source similarity solution when rescaled by the measured effective flux.
This paper demonstrates that for the three-dimensional Fröhlich polaron at any fixed coupling strength, the system's ground state ceases to exist once the total momentum exceeds a finite threshold, as the spectral bottom merges with the essential spectrum.
This paper establishes a relationship between the spectral form factor and quantum Fisher information via quantum sensing protocols, demonstrating that the self-averaging nature of the latter provides a less noisy experimental signature of quantum chaos compared to direct spectral measurements.
This paper presents an elementary proof, utilizing Stokes' theorem and the Poincaré lemma to deform a cochain rather than the underlying sets, demonstrating that the geometric Kubo formula in even dimensions factors into a topological integer determined by the relative positions of open subsets and the bulk conductance of a short-range projector.
This PhD thesis employs an axiomatic framework to characterize the large-sample and catalytic convertibility of state tuples by identifying specific families of multivariate divergences, including generalized bivariate Rényi divergences for classical states and all - relative entropies for certain quantum states, the latter providing the first operational interpretation for the latter.
This paper presents a closed-form construction for the coordinates of exceptional points in a two-parametric PT-symmetric large-matrix model on an N-point lattice, demonstrating that these critical parameters are exactly determined by the roots of an elementary quartic polynomial for any lattice size N.