Abstract
By using the path integral method for superfields the Ward identities and the Callan-Symanzik equations for the extended Wess-Zumino models are derived. From these the renormalizability and the asymptotic behaviour of all the extended Wess-Zumino models ind=2,4 (mod 8)-dimensional space-time are studied. In particular, we come to the conclusion that the supersymmetric Ward identities together with the broken chiral Ward identities imply that a single wave function renormalization is sufficient to renormalize the theory, and the theory is not asymptotically free.
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