BRST quantization and coadjoint orbit theories

Journal Article · Wed May 15 00:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.3442· OSTI ID:5794433

Allen, T J ^[1]

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1. Department of Physics, Syracuse University, Syracuse, New York 13244-1130 (US)

A new harmonic'' Becchi-Rouet-Stora-Tyutin method is presented for quantizing those dynamical systems having second-class constraints which split into holomorphic and antiholomorphic algebras. These theories include those whose phase spaces are coadjoint orbits of a compact semisimple Lie group. The method also applies to theories with holomorphic first-class constraints which have nonvanishing brackets with their antiholomorphic conjugates. An operatorial quantization, resembling supersymmetric quantum mechanics, is presented. In addition, a general path integral is given and is shown to reduce to that given by Batalin, Fradkin, and Vilkovisky.

• DOE Contract Number: FG02-85ER40231
• OSTI ID: 5794433
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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BANACH SPACE
HAMILTONIANS
HARMONICS
HILBERT SPACE
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