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

TL;DR

This paper non-perturbatively analyzes the spectrum of 2D (1,1) super Yang-Mills theory at finite and large N using Discrete Light-Cone Quantization, revealing string-like states dominate low energy sectors.

Contribution

It introduces a non-perturbative method to study the spectrum of 2D (1,1) super Yang-Mills at finite and large N, including N effects, with potential applications to other 2D theories.

Findings

Spectrum dominated by string-like states at low energy

Effective measurement of 1/N effects in the quantum spectrum

Method applicable to various two-dimensional field theories

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.