Construction of a Wilson action for the Wess-Zumino model

Abstract

We construct a Wilson action for the Wess-Zumino model by applying the exact renormalization group perturbatively. Using neither superfields nor auxiliary fields, we construct a supersymmetric action only with complex scalar and Majorana spinor fields. We adopt the BRST (antifield) formalism to show the consistency of the construction to all orders in loop expansions. The resulting action has a quadratically divergent scalar mass term which is absent in the superfield formalism.

arXiv comment33 pages; reformatted using ptptex; accepted for publication in Progress of Theoretical Physics

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• Critical behavior of supersymmetric O(N) models in the large-N limit
• N=1 Wess Zumino Model in d=3 at zero and finite temperature
• Supersymmetry breaking as a quantum phase transition
• Phases of supersymmetric O(N) theories
• On the Renormalization of Theories of a Scalar Chiral Superfield
• The two dimensional N=(2,2) Wess-Zumino Model in the Functional Renormalization Group Approach