Physics – Mathematical Physics
Scientific paper
2007-02-28
Lett.Math.Phys.83:237-252,2008
Physics
Mathematical Physics
15 pages, accepted for publication in Lett. Math. Phys
Scientific paper
10.1007/s11005-008-0226-y
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.
Bashkirov Denis
Giachetta Giovanni
Mangiarotti Luigi
Sardanashvily Gennadi
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