Reducible Gauge Algebra of BRST-Invariant Constraints
| Authors | |
|---|---|
| Year of publication | 2007 |
| Type | Article in Periodical |
| Magazine / Source | Nuclear Physics B |
| MU Faculty or unit | |
| 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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