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

Abstract

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.

55 pages

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Cited by in corpus (5)

• Lattice studies of supersymmetric gauge theories
• Exploring gauge theories with adjoint matter on the lattice
• Comparison of smoothening flows for the topological charge in QCD-like theories
• ${\mathbb{Z}}_N$ stability and continuity in twisted Eguchi-Kawai model with two-flavor adjoint fermions
• Scale setting of SU($N$) Yang--Mills theory, topology and large-$N$ volume independence