English

The Renormalization Group and the Effective Potential in the Wess-Zumino model

High Energy Physics - Theory 2019-06-26 v1

Abstract

We consider the effective potential V in the massless Wess-Zumino model. By using the renormalization group equation, we show that the explicit dependence of V on the renormalization mass scale mu cancels. If V has an extremum at some non-vanishing value of the background field, then it follows that V is "flat", independent of the background field. This is consistent with the general requirement that V be complex. The consequences for supersymmetric gauge theories are briefly considered.

Keywords

Cite

@article{arxiv.1805.10069,
  title  = {The Renormalization Group and the Effective Potential in the Wess-Zumino model},
  author = {D. G. C. McKeon},
  journal= {arXiv preprint arXiv:1805.10069},
  year   = {2019}
}