BRST Cohomology and Its Application to QED

Details BRST Cohomology and Its Application to QED BRST Cohomology and Its Application to QED

1995-02-14

arxiv.org/abs/hep-th/9502082v2

J.Korean Phys.Soc.28:138-144,1995

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, RevTex, Revised version published in J. Korean Phys. Soc., Vol. 28, No. 2, April 1995, pp. 138-144

Scientific paper

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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