Abstract
Given a classical local symmetry, it is shown how to build two associated quantum symmetries s and s . These generalized BRS and anti-BRS symmetries interchange classical and ghost fields. A direct consequence of the closure and Jacobi identities of the classical algebra are the complete nilpotency relations s 2 = s s+ ss = s 2 = 0 . This nilpotency allows one to derive very simply the correct quantum lagrangian from the classical one without recourse to the Faddeev-Popov construction. A simple formal proof is given, showing that s and s are preserved by renormalization.
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