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

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

2005-12-21

arxiv.org/abs/hep-lat/0512028v1

J.Phys.Conf.Ser. 33 (2006) 405-410

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 5 figures, Talk given at QG05, Cala Gonone, Sardinia, Italy. 12-16 September 2005

Scientific paper

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 $g^2$ 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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