Quantization and bosonic BRST theory

Journal Article · Fri Feb 15 04:00:00 EST 1991 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(91)90218-W· OSTI ID:5616213

Duval, C; Elhadad, J; Gotay, M J; Sniatycki, J; Tuynman, G M ^[1]

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1. Mathematical Sciences Research Inst., Berkeley, CA (United States)

The authors show that BRST symmetry has a natural bosonic analogue in symplectic geometry. In fact, bosonic BRST theory arises as a purely symplectic construction, which can naturally be viewed as a specific instance of symplectic induction. In this context, both the BRST charge and the total ghost number appear as the components of a momentum map on an extended symplectic phase space. The approach to bosonic BRST theory is motivated by certain problems which arise in the quantization of constrained classical systems. They show that the usual Dirac quantization prescription is incorrect when the system has nonunimodular symmetries and demonstrate how bosonic BRST theory may be used to rectify this. As a byproduct they also prove, under certain circumstances, that both the processes of induction and reduction commute with quantization.

• OSTI ID: 5616213
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 206:1; ISSN APNYA; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BANACH SPACE
BOSONS
DIRAC APPROXIMATION
GEOMETRY
HILBERT SPACE
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
PHASE SPACE
QUANTIZATION
QUANTUM OPERATORS
RESEARCH PROGRAMS
SPACE
SYMMETRY