Mass spectrum of supersymmetric Yang-Mills theory in three dimensions - art. no. 075002

We consider supersymmetric Yang-Mills theory on RxS(1)xS(1). In particular, we choose one of the compact directions to be light like and another to be space like. Since the SDLCQ regularization explicitly preserves supersymme try, this theory is totally finite, and thus we can solve for bound state w ave functions and masses numerically without renormalizing. We present the masses as functions of the longitudinal and transverse resolutions and show that the masses converge rapidly in both resolutions. We also study the be havior of the spectrum as a function of the coupling and find that at stron g coupling there is a stable, well-defined spectrum which we present. We al so find several unphysical states that decouple at large transverse resolut ion. There are two sets of massless states: one set is massless only at zer o coupling and the other is massless at all couplings. Together these sets of massless states are in one-to-one correspondence with the full spectrum of the dimensionally reduced theory.