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arXiv · math-ph/0702097

The KT-BRST complex of a degenerate Lagrangian system

D. Bashkirov·G. Giachetta·L. Mangiarotti·G. Sardanashvily
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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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D. Bashkirov, G. Giachetta, L. Mangiarotti, G. Sardanashvily. 2007-12-29. The KT-BRST complex of a degenerate Lagrangian system. https://doi.org/10.1007/s11005-008-0226-y

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