Lévy-Laplacian and the gauge fields

Volkov B.O.

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Lévy-Laplacian and the gauge fields

机译：Lévy-Laplacian和规范字段

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摘要

The following statement is proved for the Lévy-Laplacian defined as the Cesàro mean of second-order directional derivatives: a connection form on a base Riemannian C~3-smooth manifold satisfies the Yang-Mills equations if and only if the parallel transport associated with the connection is Lévy harmonic. This statement is an improvement of the well-known result of L. Accardi, P. Gibilisco and I. V. Volovich~2 (see also Ref. 1).

机译：对于被定义为二阶有向导数的Cesàro均值的Lévy-Laplacian证明了以下陈述：当且仅当与以下条件有关的平行输运满足时，基本黎曼C〜3光滑流形上的连接形式满足Yang-Mills方程。连接是莱维谐波。该陈述是对L. Accardi，P。Gibilisco和I. V. Volovich〜2的著名结果的改进（另请参见参考文献1）。

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来源
《Infinite dimensional analysis, quantum probability, and related topics》 |2012年第4期|共19页
作者
Volkov B.O.;
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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Lévy harmonic functions; Lévy-Laplacian; Yang-Mills equations;

机译：Lévy调和函数;Lévy-Laplacian;Yang-Mills方程;

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Lévy-Laplacian and the gauge fields

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