Quantum antibrackets

A binary expression in terms of operators is given which satisfies all the quantum counterparts of the algebraic properties of the classical antibracket. This quantum antibracket has therefore the same relation to the classical antibracket as commutators to Poisson brackets. It is explained how this...

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Bibliographic Details
Published in:Physics letters. B 1998-08, Vol.434 (3), p.312-320
Main Authors: Batalin, Igor, Marnelius, Robert
Format: Article
Language:English
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Summary:A binary expression in terms of operators is given which satisfies all the quantum counterparts of the algebraic properties of the classical antibracket. This quantum antibracket has therefore the same relation to the classical antibracket as commutators to Poisson brackets. It is explained how this quantum antibracket is related to the classical antibracket and the Δ-operator in the BV-quantization. Higher quantum antibrackets are introduced in terms of generating operators, which automatically yield all their subsequent Jacobi identities as well as the consistent Leibniz' rules.
ISSN:0370-2693
1873-2445
DOI:10.1016/S0370-2693(98)00709-6