Renormalization: Hard Anomalies
In the present chapter we answer the question which symmetries (out of the class of superconformai and gauge symmetries) can be established to all orders of perturbation theory, at least in the asymptotic (deep Euclidean) region. I.e. we are searching for hard anomalies. It will turn out that supersymmetry, rigid gauge invariance and R-symmetry are anomaly free, whereas the conformai symmetries, abelian gauge- and BRS-invariance have in general anomalies which are essentially super-symmetric extensions of the known anomalies in ordinary (non-supersym-metric) component theories. Although N = 1 supersymmetry links certain anomalies it does not prevent them as one might have guessed from the very special character which anomalies have as far as their symmetry properties are concerned.
KeywordsContact Term Gauge Parameter Breaking Term Tree Approximation Trace Identity
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