Applications of Lévy Differential Operators in the Theory of Gauge Fields

被引：0

作者：

Volkov B.O. ^{[1
,2
]}

机构：

[1] V. A. Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow

[2] Bauman Moscow State Technical University, Moscow

来源：

Journal of Mathematical Sciences | 2021年 / 252卷 / 1期

关键词：

60H40; 81T13; gauge field; instanton; Lévy divergence; Lévy Laplacian; Malliavin calculus; Yang–Mills equations;

D O I：

10.1007/s10958-020-05138-9

中图分类号：

学科分类号：

摘要：

This paper is a survey of results on the relationship between gauge fields and infinitedimensional equations for parallel transport that contain the Lévy Laplacian or the divergence associated with this Laplacian. Also we analyze the deterministic case where parallel transports are operator-valued functionals on the space of curves and the case of the Malliavin calculus where (stochastic) parallel transports are operator-valued Wiener functionals. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：20 / 35

页数：15

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