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

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Abstract

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 fixed-gauge unitarizing Hamiltonian and show that the formalism is physically equivalent to the standard BRST–BFV approach.

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Authors and Affiliations

  1. Lebedev Physical Institute, RAS, Moscow, Russia

    I. A. Batalin & I. V. Tyutin

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  1. I. A. Batalin
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  2. I. V. Tyutin
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Batalin, I.A., Tyutin, I.V. BRST-Invariant Algebra of Constraints in Terms of Commutators and Quantum Antibrackets. Theoretical and Mathematical Physics 138, 1–17 (2004). https://doi.org/10.1023/B:TAMP.0000010628.58719.a4

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  • DOI: https://doi.org/10.1023/B:TAMP.0000010628.58719.a4

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