Reducible Gauge Algebra of BRST-Invariant Constraints

Details Reducible Gauge Algebra of BRST-Invariant Constraints Reducible Gauge Algebra of BRST-Invariant Constraints

2006-12-20

arxiv.org/abs/hep-th/0612221v4

Nucl.Phys.B771:190-233,2007

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, LaTeX. v2: New material added to Sec. 3.9-3.10, Sec. 6 and App. E. v3: Version published in Nuclear Physics B. v4: G

Scientific paper

10.1016/j.nuclphysb.2007.02.013

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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