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Title: BRST quantization and coadjoint orbit theories

Abstract

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.

Authors:
 [1]
  1. (Department of Physics, Syracuse University, Syracuse, New York 13244-1130 (US))
Publication Date:
OSTI Identifier:
5794433
DOE Contract Number:
FG02-85ER40231
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review, D (Particles Fields); (USA); Journal Volume: 43:10
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM MECHANICS; SUPERSYMMETRY; HAMILTONIANS; HARMONICS; HILBERT SPACE; MATRIX ELEMENTS; PHASE SPACE; QUANTIZATION; BANACH SPACE; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MECHANICS; OSCILLATIONS; QUANTUM OPERATORS; SPACE; SYMMETRY; 645300* - High Energy Physics- Particle Invariance Principles & Symmetries; 657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics

Citation Formats

Allen, T.J.. BRST quantization and coadjoint orbit theories. United States: N. p., 1991. Web. doi:10.1103/PhysRevD.43.3442.
Allen, T.J.. BRST quantization and coadjoint orbit theories. United States. doi:10.1103/PhysRevD.43.3442.
Allen, T.J.. Wed . "BRST quantization and coadjoint orbit theories". United States. doi:10.1103/PhysRevD.43.3442.
@article{osti_5794433,
title = {BRST quantization and coadjoint orbit theories},
author = {Allen, T.J.},
abstractNote = {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.},
doi = {10.1103/PhysRevD.43.3442},
journal = {Physical Review, D (Particles Fields); (USA)},
number = ,
volume = 43:10,
place = {United States},
year = {Wed May 15 00:00:00 EDT 1991},
month = {Wed May 15 00:00:00 EDT 1991}
}