Non-Abelian Stokes Theorems in Yang–Mills and Gravity Theories
نویسندگان
چکیده
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 constantcurvature background in three dimensions and a formula for small-area loops in any number of dimensions.
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