2548 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 proves that the magnetic Neumann Laplacian in any infinite convex planar sector under a constant magnetic field possesses a discrete ground-state eigenvalue, as its spectral bottom lies strictly below the half-plane threshold.
This paper proposes a model coupling attraction-repulsion spatial dynamics with Deffuant-type opinion dynamics to demonstrate how confidence thresholds and opinion-dependent attraction strength govern the formation of opinion clusters and their spatial organization, ultimately deriving the stationary swarm radius for full consensus.
This paper investigates the extension of deformation quantizations of vector bundles on symplectic varieties or complex manifolds to higher orders, establishing that the vanishing of a specific obstruction class is a necessary condition for such extensions and proving it is also sufficient when the target order does not exceed .
This paper establishes that the ability to exactly simulate measurements on noisy quantum reference frames using an -dimensional ancilla is equivalent to the -positivity of the channel factor, deriving explicit phase diagrams and deficiency formulas for depolarizing channels to quantify the distinction between ancilla-restricted statistical simulation and single-channel implementation.
This paper establishes that the completeness of a finite group's unitary representation is the necessary and sufficient condition for reducing optimal quantum post-processing noise mitigation to classical convolution, while also quantifying the precise performance gaps and ancilla requirements when this condition is not met.
This paper demonstrates that a fixed Lorentz boost acting on a massive particle's spin can strictly contract all pairwise trace distances without rendering the resulting quantum channels comparable via CPTP post-processing, thereby proving that the ordering of state distinguishability does not necessarily imply a quantum statistical post-processing order.
This paper establishes a topological characterization of generic multifold band degeneracies protected solely by Altland-Zirnbauer symmetries by overcoming the obstruction of enclosing spheres through a novel framework that identifies the stability of these nodes with the linking numbers of intersecting nodal manifolds and their associated spectral gaps.
This paper proposes a deep learning-based algorithm using a ResBlock U-Net to effectively invert circular Radon transforms in partial radial setups for photoacoustic tomography, overcoming the severe artifacts and limitations of traditional truncated singular value decomposition methods.
This paper establishes that for a broad class of Markov quantum open systems governed by von Neumann-Lindblad equations, the space-time dynamics are confined within an effective light cone characterized by an exponentially small probability of information leakage outside this bound.
This paper investigates the large- asymptotics of the superconformal index for , toric quiver gauge theories using graph-theoretic and algebraic techniques to derive cycle expansions, identify Hardy-Ramanujan-type or polynomial growth behaviors for specific geometries, and generalize giant graviton expansions to multi-matrix models.