Two-loop Wess-Zumino model with exact supersymmetry on the lattice
Abstract
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. The calculation is performed in lattice perturbation theory up to order (two-loop) and the Ward-Takahashi identity (containing 110 connected non-tadpole Feynman diagrams) is satisfied at fixed lattice spacing thanks to this exact lattice supersymmetry.
Keywords
Cite
@article{arxiv.1305.6473,
title = {Two-loop Wess-Zumino model with exact supersymmetry on the lattice},
author = {A. Feo},
journal= {arXiv preprint arXiv:1305.6473},
year = {2015}
}
Comments
PRD (Rapid Communication) to appear