Scale setting for large-N SUSY Yang-Mills on the lattice

In this paper we study the large N limit of four-dimensional Supersymmetric Yang-Mills on the lattice using twisted reduced models. We have generated configurations with dynamical massive gluinos and various lattice 't Hooft couplings, and verified that the Pfaffian remains positive. We have determined the lattice spacing in terms of various observables obtaining compatible results. Extrapolating to the massless gluino limit we obtain the lattice spacing dependence on the bare couplings for the supersymmetric theory. The observed dependence goes along the expected behaviour predicted by perturbation theory.

Automated summary

In this paper, the large N limit of four-dimensional Supersymmetric Yang-Mills theory is studied using twisted reduced models. Configurations with dynamical massive gluinos and various lattice 't Hooft couplings are generated, and it is confirmed that the Pfaffian remains positive. The lattice spacing is determined in terms of various observables, obtaining compatible results. Extrapolation to the massless gluino limit reveals the lattice spacing dependence on the bare couplings for the supersymmetric theory, which agrees with the expected behavior predicted by perturbation theory.