NON-ABELIAN STOKES THEOREMS IN YANG-MILLS AND GRAVITY THEORIES
Diakonov D., Petrov V.

Поступила в редакцию: 1 Февраля 2001

PACS: 11.15.Ha, 12.38.Gc

DJVU (181K)

PDF (338.5K)

We discuss the interpretation of the non-Abelian Stokes theorem for the Wilson loop in the Yang-Mills theory. For the «gravitational Wilson loops», i. e., holonomies in curved d=2,3,4 spaces, we then derive «non-Abelian Stokes theorems» that 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.