Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-12-11
Phys.Rev.D57:1225-1232,1998
Physics
High Energy Physics
High Energy Physics - Theory
We emphasized the fact that our procedure only works for the case of Abelian global anomalies. Section 3 was rewritten and som
Scientific paper
10.1103/PhysRevD.57.1225
The Batalin Vilkovisky (BV) quantization provides a general procedure for calculating anomalies associated to gauge symmetries. Recent results show that even higher loop order contributions can be calculated by introducing an appropriate regularization-renormalization scheme. However, in its standard form, the BV quantization is not sensible to quantum violations of the classical conservation of Noether currents, the so called global anomalies. We show here that the BV field antifield method can be extended in such a way that the Ward identities involving divergencies of global Abelian currents can be calculated from the generating functional, a result that would not be obtained by just associating constant ghosts to global symmetries. This extension, consisting of trivially gauging the global Abelian symmetries, poses no extra obstruction to the solution of the master equation, as it happens in the case of gauge anomalies. We illustrate the procedure with the axial model and also calculating the Adler Bell Jackiw anomaly.
Amorim Ricardo
Braga Nelson R. F.
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