General quantum antibrackets

Abstract

The recently introduced quantum antibracket is further generalized allowing for the defining odd operator Q to be arbitrary. We give exact formulas for higher quantum antibrackets of arbitrary orders and their generalized Jacobi identities. Their applications to BV-quantization and BFV-BRST quantization are then reviewed including some new aspects.

21 pages,Latexfile

Cited by in corpus (25)

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• Local Superfield Lagrangian BRST Quantization
• Closed description of arbitrariness in resolving quantum master equation
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• Gauge Independence in a Higher-Order Lagrangian Formalism via Change of Variables in the Path Integral
• The BV formalism for L${}_{\infty }$-algebras
• Superfield Hamiltonian quantization in terms of quantum antibrackets
• BRST-Invariant Constraint Algebra in Terms of Commutators and Quantum Antibrackets
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• Path Integral Formulation with Deformed Antibracket
• Open group transformations
• Reducible Gauge Algebra of BRST-Invariant Constraints
• BRST-anti-BRST Symmetric Conversion of Second-Class Constraints
• Open group transformations within the Sp(2)-formalism
• Superfield generating equation of field-antifield formalism as a hyper-gauge theory
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• General quantum-mechanical setting for field-antifield formalism as a hyper-gauge theory
• Quantum localization of Classical Mechanics
• Quantum antibrackets: polarization and parametrization
• Superfield generating equation of field-antifield formalism