BRST-Invariant Algebra of Constraints in Terms of Commutators and Quantum Antibrackets
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 3-22

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We establish the general structure of the BRST-invariant algebra of constraints in its commutator and antibracket forms via the formulation of algebra-generating equations in a supplementally extended phase space. New ghost-type variables behave as fields and antifields with respect to quantum antibrackets. The explicit form of the BRST-invariant gauge algebra is given in detail for rank-one theories with a Weyl and a Wick-ordered ghost sector. We construct a ixed-gauge unitarizing Hamiltonian and show that the formalism is physically equivalent to the standard BRST–BFV approach.
Keywords: BRST symmetry, algebra of constraints, quantum antibracket.
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     author = {I. A. Batalin and I. V. Tyutin},
     title = {BRST-Invariant {Algebra} of {Constraints} in {Terms} of {Commutators} and {Quantum} {Antibrackets}},
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I. A. Batalin; I. V. Tyutin. BRST-Invariant Algebra of Constraints in Terms of Commutators and Quantum Antibrackets. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 1, pp. 3-22. http://geodesic.mathdoc.fr/item/TMF_2004_138_1_a0/