Supersymmetry on the lattice and the status of the Super-Yang-Mills simulations

Abstract: Supersymmetry (SUSY) and supersymmetric field theories are an interesting topic for numerical lattice simulations. Similar to the chiral symmetry there is also no local realization of (interacting) supersymmetry on the lattice. I briefly review the basic reasons for the breaking of supersymmetry. One attempt to solve the problem uses a Ginsparg-Wilson relation for supersymmetry. However, apart from the free theory, a solution of this relation has so far not been found. For supersymmetric Yang-Mills (SYM) theory a fine-tuning of the bare gluino mass is enough to arrive at a supersymmetric continuum limit. The last part of this work contains a short status report of recent SYM simulations.