Superfield Hamiltonian quantization in terms of quantum antibrackets

Abstract

We develop a new version of the superfield Hamiltonian quantization. The main new feature is that the BRST-BFV charge and the gauge fixing Fermion are introduced on equal footing within the sigma model approach, which provides for the actual use of the quantum/derived antibrackets. We study in detail the generating equations for the quantum antibrackets and their primed counterparts. We discuss the finite quantum anticanonical transformations generated by the quantum antibracket.

16 pages, v2: Appendix extended, references added, published version, v3: Section 3 extended, v4: minor corrections

References in corpus (2)

• Non-Commutative Batalin-Vilkovisky Algebras, Homotopy Lie Algebras and the Courant Bracket
• Representation of a gauge field via intrinsic "BRST" operator

Cited by in corpus (6)

• Closed description of arbitrariness in resolving quantum master equation
• Superfield generating equation of field-antifield formalism as a hyper-gauge theory
• Generalized canonical approach to deformation problem in gauge theories
• Quantum localization of Classical Mechanics
• Superfield generating equation of field-antifield formalism
• Quantum antibrackets: polarization and parametrization