Fourdimensional N = 1 supersymmetric YangMills theory on the lattice without finetuning
Abstract
We propose a method to formulate fourdimensional N = 1 super YangMills theory on the lattice without finetuning. We first show that fourdimensional Weyl fermion in a real representation, which is equivalent to Majorana fermion, can be formulated using the domain wall approach with an addition of a Majorana mass term only for the unwanted mirror fermion. This formalism has manifest gauge invariance. Fermion number conservation is violated only by the additional Majorana mass term for the mirror fermion and the violation is propagated to the physical fermion sector through anomalous currents. Due to this feature, the formalism, when applied to the gluino in the present case, ensures the restoration of supersymmetry in the continuum limit without finetuning, unlike the proposal by Curci and Veneziano.
 Publication:

Physics Letters B
 Pub Date:
 February 1997
 DOI:
 10.1016/S03702693(97)006746
 arXiv:
 arXiv:heplat/9701013
 Bibcode:
 1997PhLB..406..215N
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 7 pages, TeX, no figure, final version accepted by Physics Letters B.