DLCQ bound states of N=(2,2) super-Yang-Mills theory at finite and large N- art. no. 125006

We consider the (1 + 1-dimensional N=(2,2) supersymmetric matrix model whic h is obtained by dimensionally reducing N=1 super Yang-Mills theory from fo ur to two dimensions. The gauge groups we consider are U(N) and SU(N), when N is finite but arbitrary. We adopt light-cone coordinates, and choose to work in the light-cone gauge. Quantizing this theory via discretized light- cone quantization (DLCQ introduces an integer K which restricts the light-c one momentum-fraction of constituent quanta to be integer multiples of 1/K. Solutions to the DLCQ bound state equations are obtained for 2 less than o r equal to K less than or equal to 6 by discretizing the light-cone superch arges, which results in a supersymmetric spectrum. Our numerical results im ply the existence of normalizable massless states in the continuum limit K- ->infinity, and therefore the absence of a mass gap. The low energy spectru m is dominated by string-like (or many parton) states. Our results are cons istent with the claim that the theory is in a screening phase. [S0556-2821 (98)04624-4].