c>1 Non-Critical Strings and Large-N Matrix Field Theory

Details c>1 Non-Critical Strings and Large-N Matrix Field Theory c>1 Non-Critical Strings and Large-N Matrix Field Theory

1994-11-28

arxiv.org/abs/hep-th/9411204v1

Phys. Lett. B348 (1995) 55

Physics

High Energy Physics

High Energy Physics - Theory

9 pages LateX + 7 figures uuencoded

Scientific paper

10.1016/0370-2693(95)00108-W

Motivated by a possible relativistic string description of hadrons we use a discretised light-cone quantisation and Lanczos algorithm to investigate the phase structure of phi^3 matrix field theory in the large N limit. In 1+1 dimensions we confirm the existence of Polyakov's non-critical string theory at the boundary between parton-like and string-like phases, finding critical exponents for longitudinal oscillations equal to or consistent with those given by a mean field argument. The excitation spectrum is finite, possibly discrete. We calculate light-cone structure functions and find evidence that the probability Q(x) of a parton in the string carrying longitudinal momentum fraction between x and x+dx has support on all 0

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