Stochastic Lévy differential operators and Yang–Mills equations

DOI10.1142/S0219025717500084zbMath1393.70045arXiv1605.06024MaRDI QIDQ5276029

Boris O. Volkov

Publication date: 14 July 2017

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.06024

zbMATH Keywords

stochastic parallel transportYang-Mills equationsLévy divergenceLévy-Laplacian

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (9)

Lévy Laplacians, holonomy group and instantons on 4-manifolds ⋮ Applications of Lévy differential operators in the theory of gauge fields ⋮ Lévy Laplacians and instantons on manifolds ⋮ Approximations to the solution of Cauchy problem for a linear evolution equation via the space shift operator (second-order equation example) ⋮ Lévy Laplacian on manifold and Yang-Mills heat flow ⋮ Lévy Laplacians in Hida calculus and Malliavin calculus ⋮ On quantum dynamics on \(C^\ast\)-algebras ⋮ Finding stationary solutions of the Lindblad equation by analyzing the entropy production functional ⋮ Lévy differential operators and Gauge invariant equations for Dirac and Higgs fields

Cites Work

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