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On the Non-Abelian Stokes Theorem

Dmitri Diakonov·Victor Petrov
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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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Dmitri Diakonov, Victor Petrov. 2000-08-03. On the Non-Abelian Stokes Theorem. https://arxiv.org/abs/hep-lat/0008004

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