Gauss law commutators in anomalous gauge theories from a geometrical point of view

Journal Article · Mon Mar 15 04:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.2591· OSTI ID:7060590

Kubo, R ^[1]

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1. Uji Research Center, Yukawa Institute for Theoretical Physics, Kyoto University, Uji 611 (Japan)

A new method of deriving the commutation relations for Gauss law operators is studied in anomalous gauge theories. We use the method of coadjoint orbits extensively. Instead of dealing with the Gauss law operators explicitly, we consider the Becchi-Rouet-Stora-Tyutin (BRST) operator on a coadjoint orbit associated with anomalous gauge theories. We derive a basic equation satisfied by the BRST operator. The equation for the BRST operator plays a fundamental role in our formulation and it precisely reproduces the Schwinger terms in commutation relations for the Gauss law operators.

• OSTI ID: 7060590
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:6; ISSN 0556-2821; ISSN PRVDAQ
• Country of Publication: United States
• Language: English

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