Exact R.G. equation in presence of Konishi type anomaly
for SUSY YM - Shifman-Vainshtein relation
Kensuke Yoshida


Abstract
In the supersymmetric YM theory the is the anomaly with respect to the scale transformation (Konishi anomaly). This necessitates the modification of the usual derivation of the exact R.G. equation, due to Polchinski. To simplify the argument, we apply this idea to the gauge invariant regularization of N=1 SYM (Murayama et al.). The result is that the Wilson's functional $S_{\Lambda} (\Lambda -> M) consists of non anomalous term which obeys the Polchinski's equation plus the Fujikawa-Konishi determinant contribution which leads very simply to the Shifman's relation of the running coupling constant.

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Elenco dei partecipanti al convegno di Bari.

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