Hard-soft renormalization of the massless Wess-Zumino model

Abstract

We show that in a Wilsonian renormalization scheme with zero-momentum subtraction point the massless Wess-Zumino model satisfies the non-renormalization theorem; the finite renormalization of the superpotential appearing in the usual non-zero momentum subtraction schemes is thus avoided. We give an exact expression of the beta and gamma functions in terms of the Wilsonian effective action; we prove the expected relation $\beta =3g\gamma$. We compute the beta function at the first two loops, finding agreement with previous results.

11 pages, 3 figures

References in corpus (2)

• Wilson Renormalization Group for Supersymmetric Gauge Theories and Gauge Anomalies
• Hard-Soft Renormalization and the Exact Renormalization Group

Cited by in corpus (1)

• Dimensional renormalization of Yukawa theories wia Wilsonian methods