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Two Dimensional QCD as a String Theory

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arxiv hep-th/9212149 v1 pith:2YO3B6QH submitted 1992-12-24 hep-th hep-ph

classification hep-thhep-ph
keywords stringdimensionalexpansionrepresentationtheoryarbitrarycoefficientsdevelop
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 1 Pith paper

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  1. The String Dual to Two-dimensional Yang-Mills Theory Revisited

    hep-th 2025-02 conditional novelty 6.0 of 10

    Chiral two-dimensional Yang-Mills theory at large N is proposed to be dual to a stationary subsector of Gromov-Witten theory deformed by an area-dependent transposition interaction and an Omega-point compactification ...

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