The KT-BRST complex of a degenerate Lagrangian system
arXiv:math-ph/0702097 · doi:10.1007/s11005-008-0226-y
Abstract
Quantization of a Lagrangian field system essentially depends on its degeneracy and implies its BRST extension defined by sets of non-trivial Noether and higher-stage Noether identities. However, one meets a problem how to select trivial and non-trivial higher-stage Noether identities. We show that, under certain conditions, one can associate to a degenerate Lagrangian L the KT-BRST complex of fields, antifields and ghosts whose boundary and coboundary operators provide all non-trivial Noether identities and gauge symmetries of L. In this case, L can be extended to a proper solution of the master equation.
15 pages, accepted for publication in Lett. Math. Phys
References in corpus (7)
- Local BRST cohomology in gauge theories
- Antibracket, Antifields and Gauge-Theory Quantization
- Noether's second theorem for BRST symmetries
- Noether's second theorem in a general setting. Reducible gauge theories
- The antifield Koszul-Tate complex of reducible Noether identities
- Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology
- Graded infinite order jet manifolds