Hard-soft renormalization of the massless Wess-Zumino model

Details Hard-soft renormalization of the massless Wess-Zumino model Hard-soft renormalization of the massless Wess-Zumino model

1998-05-15

arxiv.org/abs/hep-th/9805092v1

Phys.Lett. B440 (1998) 305-312

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 3 figures

Scientific paper

10.1016/S0370-2693(98)01111-3

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.

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