Two Dimensional QCD as a String Theory

Abstract

I explore the possibility of finding an equivalent string representation of two dimensional QCD. I develop the large N expansion of the $\mathrm{QC}{\mathrm{D}}_2$ 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 $\frac{1}{N}$ expansion must vanish. This is shown to be true to all orders, giving strong evidence for the existence of a string representation.

24 pages

Cited by in corpus (168)

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• Lattice QCD as a theory of interacting surfaces
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• Large-N transitions for generalized Yang-Mills theories in 1+1 dimensions
• Nonabelian Duality and Solvable Large N Lattice Systems
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• Large-N limit of non-local 2D generalized Yang-Mills theories on non-orientable surface
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• Two dimensional QCD and abelian bosonization
• The Stringy Representation of the D>=3 Yang-Mills Theory
• From Seiberg-Witten invariants to topological Green-Schwarz string
• Large-N limit of the two-dimensinal Non-Local Yang-Mills theory on arbitrary surfaces with boundary