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

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.

LaTex 18 pages; 5 Encapsulated PostScript figures

References in corpus (6)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Matrix String Theory
• The Spectrum of a Large N Gauge Theory Near Transition from Confinement to Screening
• Matrix Theories from Reduced SU(N) Yang-Mills with Adjoint Fermions
• (1+1)-Dimensional Yang-Mills Theory Coupled to Adjoint Fermions on the Light Front
• Screening and confinement in large N_f QCD_2 and in N=1 SYM_2

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• Properties of the Bound States of Super-Yang-Mills-Chern-Simons Theory
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• Two-dimensional super Yang-Mills theory investigated with improved resolution
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• Renormalizing DLCQ Using Supersymmetry
• Numerical Simulations of N=(1,1) SYM{1+1} with Large Supersymmetry Breaking