TOWARDS N=1 SUPER-YANG-MILLS ON THE LATTICE

We consider the lattice regularization of N = 1 supersymmetric Yang-Mi lls theory with Wilson fermions. This formulation breaks supersymmetry at any finite lattice spacing; we discuss how Ward identities can be used to define a supersymmetric continuum limit, which coincides with the point where the gluino becomes massless. As a first step towards t he understanding of the zero gluino-mass limit, we present results on the quenched low-lying spectrum of SU(2) N = 1 super-Yang-Mills, at be ta = 2.6 on a V = 16(3) x 32 lattice, in the OZI approximation. Our re sults, in spite of the quenched and OZI approximations, are in remarka ble agreement with theoretical predictions in the supersymmetric theor y, for the states with masses which are not expected to get a large co ntribution from fermion loops. (C) 1998 Elsevier Science B.V.