Renormalisation of gauge theories using effective Lagrangians, II

The method of effective Lagrangian flow provides the most physically illuminating discussion of renormalisation theory. The extra complication of the unitarity question in gauge theories was solved in the first paper (for the non-chiral case) and in this paper we extend the results to chiral gauge theories and rigid N = 1 super Yang--Mills. We prove that one-loop anomaly cancellation is a sufficient condition for unitarity, and we also prove the Adler--Bardeen theorem for the divergence of a non-gauged axial current. Finally, we show that the gravitational anomalies of a gauged current are removed completely when canceled at the one-loop level. copyright 1988 Academic Press, Inc