Topological aspects in non-Abelian gauge theory

Details Topological aspects in non-Abelian gauge theory Topological aspects in non-Abelian gauge theory

1999-03-15

arxiv.org/abs/hep-th/9903121v1

Mod.Phys.Lett. A14 (1999) 1937-1950

Physics

High Energy Physics

High Energy Physics - Theory

(1+11) pages, LaTeX, no figures

Scientific paper

10.1142/S0217732399002017

We discuss the BRST cohomology and exhibit a connection between the Hodge decomposition theorem and the topological properties of a two dimensional free non-Abelian gauge theory having no interaction with matter fields. The topological nature of this theory is encoded in the vanishing of the Laplacian operator when equations of motion are exploited. We obtain two sets of topological invariants with respect to BRST and co-BRST charges on the two dimensional manifold and show that the Lagrangian density of the theory can be expressed as the sum of terms that are BRST- and co-BRST invariants.

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