All-orders finite $N=1$ super-Yang-Mills Theories

Abstract

I present a criterion for all-order finiteness in $N=1$ SYM theories. The structure of the supercurrent anomaly, the Callan-Symanzik equation and the supersymmetric non-renormalization theorem for chiral anomalies are the essential ingredients of the proof.

6 pages, no figures, plain LATEX file