Two-loop Wess-Zumino model with exact supersymmetry on the lattice

Understand

We consider a lattice formulation of the four dimensional N=1 Wess-Zumino model in terms of the Ginsparg-Wilson relation.

• This formulation has an exact supersymmetry on the lattice.
• The lattice action is invariant under a deformed supersymmetric transformation which is non-linear in the scalar fields and it is determined by an iterative procedure in the coupling constant to all orders in perturbation theory.
• We also show that the corresponding Ward-Takahashi identity is satisfied at fixed lattice spacing.