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@article{708610,
author = {Batalin, Igor and Bering Larsen, Klaus},
article_location = {The Netherlands},
article_number = {771},
doi = {http://dx.doi.org/10.1016/j.nuclphysb.2007.02.013},
keywords = {BFV-BRST Quantization; Extended BRST Symmetry; Reducible Gauge algebra; Antibracket.},
language = {eng},
issn = {0550-3213},
journal = {Nuclear Physics B},
title = {Reducible Gauge Algebra of BRST-Invariant Constraints},
url = {http://arxiv.org/abs/hep-th/0612221},
volume = {2007},
year = {2007}
}
TY - JOUR
ID - 708610
AU - Batalin, Igor - Bering Larsen, Klaus
PY - 2007
TI - Reducible Gauge Algebra of BRST-Invariant Constraints
JF - Nuclear Physics B
VL - 2007
IS - 771
SP - 190-233
EP - 190-233
PB - Elsevier
SN - 05503213
KW - BFV-BRST Quantization
KW - Extended BRST Symmetry
KW - Reducible Gauge algebra
KW - Antibracket.
UR - http://arxiv.org/abs/hep-th/0612221
N2 - 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.
ER -
BATALIN, Igor a Klaus BERING LARSEN. Reducible Gauge Algebra of BRST-Invariant Constraints. \textit{Nuclear Physics B}. The Netherlands: Elsevier, 2007, roč.~2007, č.~771, s.~190-233. ISSN~0550-3213. Dostupné z: https://dx.doi.org/10.1016/j.nuclphysb.2007.02.013.
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