On the Non-Abelian Stokes Theorem

2000/08/03 by Dmitri Diakonov, Diakonov, Dmitri, Victor Petrov +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #hep-lat #hep-th

paper · pdf · doi:10.48550/arxiv.hep-lat/0008004

18 pages, 1 figure

arxiv created 2000/08/03 · arxiv updated 2009/11/30

Abstract

We present the non-Abelian Stokes theorem for the Wilson loop in various forms and discuss its meaning. Its validity has been recently questioned by Faber, Ivanov, Troitskaya and Zach. We demonstrate that all points of their criticism are based on mistakes in mathematics. Finally, we derive a variant of our formula for the Wilson loop in lattice regularization.

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