Freiburg 2008 – scientific programme

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T: Fachverband Teilchenphysik

T 19: Gittereichtheorie

T 19.3: Talk

Monday, March 3, 2008, 17:15–17:30, KGI-HS 1023

N=1 supersymmetric Yang-Mills theory on the lattice — •Kamel Demmouche¹, Federico Farchioni¹, Alexander Ferling¹, István Montvay², and Gernot Münster¹ — ¹Universität Münster, Institut für Theoretische Physik, Wilhelm-Klemm-Strasse 9, D-48149 Münster, Germany — ²Deutsches Elektronen-Synchrotron DESY, Notkestr.85, D-22603 Hamburg, Germany

We perform Monte Carlo investigations of the N=1 supersymmetric Yang-Mills (SYM) theory on the lattice with dynamical gluinos. The motivation is the determination of the mass spectrum of the low-lying bound states of the theory. These states are expected to form two supermultiplets consisting of gluinoballs, glueballs and gluino-glueballs. We adopt the Wilson discretization of the action, which explicitly breaks SUSY and chirality at finite lattice spacing. At gauge coupling β=2.3, we analyzed 16³·32 lattices at three values of the gluino mass (κ=0.1955,0.196,0.1965). The critical gluino mass, where the restoration of chiral symmetry and the superymmetry is expected in the continiuum limit, is estimated to be κ_cr≃0.1969. The two-step multi-bosonic (TSMB) Monte Carlo algorithm is used for the dynamical gluino. Some features of a novel Polynomial-Hybrid-Monte-Carlo (PHMC) implimentation are also discussed.