Scale setting for large-N SUSY Yang-Mills on the lattice
Pietro Butti, Margarita Garcı́a Pérez, Antonio González-Arroyo, Ken-Ichi Ishikawa, M. Okawa
Abstract
A bstract 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.
Topics & Concepts
PfaffianGluinoPhysicsLattice (music)ObservableSupersymmetryMassless particleParticle physicsLattice field theoryYang–Mills theoryLattice model (finance)Mathematical physicsTheoretical physicsQuantum mechanicsMathematicsQuantum chromodynamicsGauge theoryPure mathematicsNuclear magnetic resonanceAcousticsPolymerQuantum Chromodynamics and Particle InteractionsBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studies