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 proves that for all single-mode bosonic Gaussian channels, the classical capacity is achieved by independently prepared Gaussian states with Gaussian-distributed displacements, thereby confirming the additivity of the energy-constrained Holevo information and characterizing the precise asymptotic trade-off between communication rate and decoding error.
This paper introduces a quadratic ancestor inequality for weighted spanning trees and applies it to prove that the expected distance between two random vertices in the uniform spanning tree of any finite transitive graph is at least , as well as to establish that the growth exponent of three-dimensional loop-erased random walk is at least 3/2.
This paper establishes the quantization of Segal's semigroup for Compactified Imaginary Liouville Theory, overcoming the challenge of non-positivity to recover Virasoro generators and derive Ward identities, thereby providing essential tools for the conformal bootstrap program and the global construction of conformal blocks.
This paper constructs a derived category for translation invariant generalized complex structures on tori via non-commutative curved deformations of the Dolbeault algebra, demonstrating its independence from deformation paths, invariance under actions (including trivial T-duality), and consistency with the homological mirror symmetry conjecture.
This paper investigates the degree growth of rational maps with the Laurent property, particularly Gale–Robinson recurrences, by developing a tropical reduction method to derive explicit growth formulas and proving a conjecture for a specific infinite family of three-term recurrences.
This paper develops a unified operadic framework for anti-splitting and anti-replication of binary operads, defining anti-successors and anti-duplicators that characterize Manin black and white products via Koszul duality and generalize known algebraic structures like anti-dendriform and anti-pre-Lie algebras.
This paper investigates quantum collapse in inverse-power potentials by deriving analytical singular stationary wave functions that exhibit infinite oscillations near the origin, while also demonstrating how regularizing the potential restores a discrete spectrum and a missing ground state.
This paper presents a coupled fluid-structure interaction model combining Navier-Stokes equations, a low-regularity Naghdi shell, and a Windkessel boundary condition to simulate pulmonary artery banding, featuring a non-iterative partitioned numerical scheme and parameter estimation via an unscented Kalman filter to analyze hemodynamic effects of localized constrictions.
This paper investigates the relationship between and Wess-Zumino-Witten models by demonstrating that while anomaly matching imposes a weak condition on their levels, the stricter pairing condition derived from simple currents is necessary to ensure the consistent preservation of symmetries and defects, revealing a fundamental distinction between these two constraints in the context of invertible symmetries.
This paper mathematically demonstrates that for a reaction-diffusion autocatalytic model to exhibit a Turing instability responsible for pattern formation, the system must possess nonlinearity degrees of at least three.