N=1 supersymmetric Yang-Mills theory on the lattice

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 gluionballs, 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 supersymmetry is expected in the continuum limit, is estimated to be κcr≅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) implementation are also discussed