Non-Abelian Stokes Theorem

Bogusław Broda · Advances in chemical physics · 2003

In this chapter the author addresses the main issues related to the non-Abelian Stokes theorem. The two principal approaches (operator and path integral) to the non-Abelian Stokes theorem are formulated in their simplest possible forms. A generalization for a knotted loop as well as a suggestion concerning higher-degree forms are presented. Only nonperturbative applications of the non-Abelian Stokes theorem (to low-dimensional gauge theories) are described. The review is not comprehensive; rather, it is directed toward topological aspects reflecting the author's interests.

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