BRST-Invariant Constraint Algebra in Terms of Commutators and Quantum Antibrackets

Abstract

General structure of BRST-invariant constraint algebra is established, in its commutator and antibracket forms, by means of formulation of algebra-generating equations in yet more extended phase space. New ghost-type variables behave as fields and antifields with respect to quantum antibrackets. Explicit form of BRST-invariant gauge algebra is given in detail for rank-one theories with Weyl- and Wick- ordered ghost sector. A gauge-fixed unitarizing Hamiltonian is constructed, and the formalism is shown to be physically equivalent to the standard BRST-BFV approach.

20 pages; some misprints are removed

References in corpus (2)

• A path integral approach to the Kontsevich quantization formula
• General quantum antibrackets

Cited by in corpus (6)

• Superfield Hamiltonian quantization in terms of quantum antibrackets
• On the transformations of hamiltonian gauge algebra under rotations of constraints
• General conversion method for constrained systems
• Representation of a gauge field via intrinsic "BRST" operator
• Reducible Gauge Algebra of BRST-Invariant Constraints
• Quantum antibrackets: polarization and parametrization