BRST Cohomology and Its Application to QED

Hyun Seok Yang; Bum-Hoon Lee

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arXiv · hep-th/9502082

BRST Cohomology and Its Application to QED

Hyun Seok Yang·Bum-Hoon Lee

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Abstract

We construct the BRST cohomology under a positive definite inner product and obtain the Hodge decomposition theorem at a non-degenerate state vector space $V$. The harmonic states isomorphic with a BRST cohomology class correspond to the physical Hilbert space with positive norm as long as the completeness of $Q_{BRST}$ is satisfied. We explicitly define ``co-BRST'' operator and analyze the quartet mechanism in QED.

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Hyun Seok Yang, Bum-Hoon Lee. 1995-10-21. BRST Cohomology and Its Application to QED. https://arxiv.org/abs/hep-th/9502082

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