BRST quantization of gauge theories is considered on the basis of Poincaré-Cartan forms in the framework of global variational calculus on fibred manifolds. It is pointed out that the BRST transformation admits a jet-prolonged formulation which is in fact a ≪generalized symmetry≫ of the BRST-invariant Lagrangian (a well-known concept in the framework of integrable systems). We show that the Poincaré-Cartan forms are invariant under this extended BRST transformation only modulo contact terms, which vanish on all sections anda fortiori on solutions of field equations.

BRST invariance and Poincaré-Cartan forms

FERRARIS, Marco;FRANCAVIGLIA, Mauro;
1995-01-01

Abstract

BRST quantization of gauge theories is considered on the basis of Poincaré-Cartan forms in the framework of global variational calculus on fibred manifolds. It is pointed out that the BRST transformation admits a jet-prolonged formulation which is in fact a ≪generalized symmetry≫ of the BRST-invariant Lagrangian (a well-known concept in the framework of integrable systems). We show that the Poincaré-Cartan forms are invariant under this extended BRST transformation only modulo contact terms, which vanish on all sections anda fortiori on solutions of field equations.
1995
110 (3)
253
264
BRST invariance; Poincaré-Cartan forms
M. FERRARIS; M. FRANCAVIGLIA; I. VOLOVICH
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/5106
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