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General quantum antibrackets

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Abstract

The recently introduced quantum antibracket is further generalized such that the odd operator Q can be arbitrary. We give exact formulas for quantum antibrackets of arbitrary higher orders and for their generalized Jacobi identities. We review applications of the quantum antibrackets to the BV and BFV-BRST quantizations and include some new aspects.

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Author notes

  1. I. A. Batalin

    Present address: Lebedev Physical Institute, Moscow, Russia

Authors and Affiliations

  1. Institute of Theoretical Physics, Chalmers University of Technology, Göteborg University, Göteborg, Sweden

    I. A. Batalin & R. Marnelius

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  1. I. A. Batalin
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  2. R. Marnelius
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 120, No. 3 pp. 358–379, September, 1999.

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Batalin, I.A., Marnelius, R. General quantum antibrackets. Theor Math Phys 120, 1115–1132 (1999). https://doi.org/10.1007/BF02557237

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  • DOI: https://doi.org/10.1007/BF02557237

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