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Exact Ward-Takahashi identity for the lattice N=1 Wess-Zumino model

A. Feo

hep-latarXiv:hep-lat/0512028

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 g2 we show that this lattice supersymmetry automatically leads to restoration of continuum supersymmetry without fine tuning. In particular, the scalar and fermion renormalization wave functions coincide.

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