Two Dimensional QCD as a String Theory

TL;DR

This paper investigates the potential for representing two-dimensional QCD as a string theory by analyzing the large N expansion of its partition function on arbitrary manifolds, providing evidence for a string correspondence.

Contribution

It develops the all-orders large N expansion of QCD2 on arbitrary manifolds and demonstrates that many coefficients vanish, supporting a string theory interpretation.

Findings

Large N expansion coefficients vanish at all orders

Evidence supports QCD2 as a string theory

Partition function analysis on arbitrary manifolds

Abstract

I explore the possibility of finding an equivalent string representation of two dimensional QCD. I develop the large N expansion of the ${\rm QCD_2}$ partition function on an arbitrary two dimensional Euclidean manifold. If this is related to a two-dimensional string theory then many of the coefficients of the ${1\over N}$ expansion must vanish. This is shown to be true to all orders, giving strong evidence for the existence of a string representation.