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Published in Phys. Rev. D43 (1991) 3442 SU4228438 BRST Quantization and Coadjoint Orbit Theories

Summary: Published in Phys. Rev. D43 (1991) 3442 SU­4228­438
May 1990
BRST Quantization and Coadjoint Orbit Theories
Theodore J. Allen #
Department of Physics
Syracuse University, Syracuse, NY 13244­1130
A new `harmonic' BRST method is presented for quantizing those dynamical
systems having second­class constraints which split into holomorphic and antiholo­
morphic 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 first­class constraints which have nonvanishing brackets with their an­
tiholomorphic 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.
*Bitnet address: tjallen@suhep.bitnet
#1991 The American Physical Society

1. Introduction


Source: Allen, Theodore J. - Physics Department, Hobart and William Smith Colleges


Collections: Physics