Non-Abelian Stokes theorems in the Yang-Mills and gravity theories

被引：11

作者：

Diakonov, DI

Petrov, VY

机构：

[1] NORDITA, DK-2100 Copenhagen O, Denmark

[2] St Petersburg Nucl Phys Inst, Gatchina 188350, Leningrad Reg, Russia

来源：

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS | 2001年 / 92卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

Spectroscopy; State Physics; Field Theory; Elementary Particle; Quantum Field Theory;

D O I：

10.1134/1.1385630

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the interpretation of the non-Abelian Stokes theorem for the Wilson loop in the Yang-Mills theory. For the "gravitational Wilson loops," i.e., holonomies in curved d = 2, 3, 4 spaces, we then derive "non-Abelian Stokes theorems" that are similar to our formula in the Yang-Mills theory. In particular, we derive an elegant formula for the holonomy in the case of a constant-curvature background in three dimensions and a formula for small-area loops in any number of dimensions. (C) 2001 MAIK "Nauka/ Interperiodica".

引用

页码：905 / 920

页数：16

共 26 条

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