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.
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Bashkirov, D., Giachetta, G., Mangiarotti, L. et al. The KT-BRST Complex of a Degenerate Lagrangian System. Lett Math Phys 83, 237–252 (2008). https://doi.org/10.1007/s11005-008-0226-y
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DOI: https://doi.org/10.1007/s11005-008-0226-y