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

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

1998-03-20

arxiv.org/abs/hep-th/9803170v1

Phys.Rev. D58 (1998) 085009

Physics

High Energy Physics

High Energy Physics - Theory

LaTex 18 pages; 5 Encapsulated PostScript figures

Scientific paper

10.1103/PhysRevD.58.085009

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.

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