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arXiv · hep-th/9907063

Non-Abelian Stokes Theorem for Wilson Loops Associated with General Gauge Groups

M. Hirayama·M. Ueno
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Abstract

A formula constituting the non-Abelian Stokes theorem for general semi-simple compact gauge groups is presented. The formula involves a path integral over a group space and is applicable to Wilson loop variables irrespective of the topology of loops. Some simple expressions analogous to the 't Hooft tensor of a magnetic monopole are given for the 2-form of interest. A special property in the case of the fundamental representation of the group SU(N) is pointed out.

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BibTeXRIS

M. Hirayama, M. Ueno. 1999-12-08. Non-Abelian Stokes Theorem for Wilson Loops Associated with General Gauge Groups. https://doi.org/10.1143/ptp.103.151

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