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

F. Antonuccio·O. Lunin·S. Pinsky
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Abstract

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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F. Antonuccio, O. Lunin, S. Pinsky. 1998-03-20. Non-Perturbative Spectrum of Two Dimensional (1,1) Super Yang-Mills at Finite and Large N. https://doi.org/10.1103/physrevd.58.085009

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