Exact lattice Ward - Takahashi identity for the N = 1 Wess - Zumino model
نویسنده
چکیده
We consider a lattice formulation of the four dimensional N = 1 Wess-Zumino model that uses the Ginsparg-Wilson relation. This formulation has an exact supersymmetry on the lattice. We show that the corresponding Ward-Takahashi identity is satisfied, both at fixed lattice spacing and in the continuum limit. The calculation is performed in lattice perturbation theory up to order g in the coupling constant. We also show that this WardTakahashi identity determines the finite part of the scalar and fermion renormalization wave functions which automatically leads to restoration of supersymmetry in the continuum limit. In particular, these wave functions coincide in this limit.
منابع مشابه
5 Exact Ward - Takahashi identity for the lattice N = 1 Wess - Zumino model
Abstract. The lattice Wess-Zumino model written in terms of the Ginsparg-Wilson relation is invariant under a generalized supersymmetry transformation which is determined by an iterative procedure in the coupling constant. By studying the associated Ward-Takahashi identity up to order g we show that this lattice supersymmetry automatically leads to restoration of continuum supersymmetry without...
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