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

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

1999-07-09

arxiv.org/abs/hep-th/9907063v2

Prog.Theor.Phys.103:151-159,2000

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, PTPTEX, corrected some typos

Scientific paper

10.1143/PTP.103.151

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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