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arXiv · hep-th/0008035

Non-Abelian Stokes Theorems in Yang-Mills and Gravity Theories

Dmitri Diakonov·Victor Petrov
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Abstract

We recall the non-Abelian Stokes theorem for the Wilson loop in the Yang-Mills theory and discuss its meaning. Then we move to `gravitational Wilson loops', i.e. to holonomies in curved d=2,3,4 spaces and derive non-Abelian Stokes theorems for these quantities as well, which 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.

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Dmitri Diakonov, Victor Petrov. 2000-08-03. Non-Abelian Stokes Theorems in Yang-Mills and Gravity Theories. https://doi.org/10.1134/1.1385630

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