Non-Perturbative Spectrum of Two Dimensional (1,1) Super Yang-Mills at Finite and Large N

We consider the dimensional reduction of N = 1 SYM 2+1 to 1 + 1 dimensions, which has (1 , 1) supersymmetry. The gauge groups we consider are U( N ) and SU( N ), where N is a finite variable. We implement Discrete Light-Cone Quantization to determine non-perturbatively the bound states in this theory. A careful analysis of the spectrum is performed at various values of N , including the case where N is large (but finite), allowing a precise measurement of the 1 /N effects in the quantum theory. The low energy sector of the theory is shown to be dominated by string-like states. The techniques developed here may be applied to any two dimensional field theory with or without supersymmetry.