Construction of a Wilson action for the Wess-Zumino model

We construct a Wilson action for the Wess-Zumino model by applying the exact renor-malization 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. The purpose of this paper is to construct a Wilson action for the Wess-Zumino model by applying the exact renormalization group (ERG) perturbatively. ERG was originally introduced to define the continuum limit of a quantum field theory non-perturbatively.1) A field theory is defined by an action with a momentum cutoff Λ