Reducible Gauge Algebra of BRST-Invariant Constraints

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Authors

BATALIN Igor BERING LARSEN Klaus

Year of publication 2007
Type Article in Periodical
Magazine / Source Nuclear Physics B
MU Faculty or unit

Faculty of Science

Citation
Web http://arxiv.org/abs/hep-th/0612221
Doi http://dx.doi.org/10.1016/j.nuclphysb.2007.02.013
Field Theoretical physics
Keywords BFV-BRST Quantization; Extended BRST Symmetry; Reducible Gauge algebra; Antibracket.
Description We show that it is possible to formulate the most general first-class gauge algebra of the operator formalism by only using BRST-invariant constraints. In particular, we extend a previous construction for irreducible gauge algebras to the reducible case. The gauge algebra induces two nilpotent, Grassmann-odd, mutually anticommuting BRST operators that bear structural similarities with BRST/anti-BRST theories but with shifted ghost number assignments. In both cases we show how the extended BRST algebra can be encoded into an operator master equation. A unitarizing Hamiltonian that respects the two BRST symmetries is constructed with the help of a gauge-fixing Boson. Abelian reducible theories are shown explicitly in full detail, while non-Abelian theories are worked out for the lowest reducibility stages and ghost momentum ranks.
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