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Two Dimensional QCD is a String Theory

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arxiv hep-th/9301068 v1 pith:WZ6DE5H3 submitted 1993-01-18 hep-th hep-ph

Two Dimensional QCD is a String Theory

classification hep-th hep-ph
keywords dimensionalstringsurfacetheoryareaclosedcoefficientsdetermined
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The partition function of two dimensional QCD on a Riemann surface of area $A$ is expanded as a power series in $1/N$ and $A$. It is shown that the coefficients of this expansion are precisely determined by a sum over maps from a two dimensional surface onto the two dimensional target space. Thus two dimensional QCD has a simple interpretation as a closed string theory.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    hep-th 2026-06 unverdicted novelty 7.0

    A ribbon ZX calculus is defined for 2D Yang-Mills theory via the Hopf Frobenius structure of the group algebra, which matches 2D TQFT diagrammatics.

  2. Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries

    hep-th 2025-07 unverdicted novelty 6.0

    Continuous-universe decomposition plus (-1)-form gauging eliminates every instanton in local QFTs, realized explicitly by switching 2D U(1) gauge theories to noncompact R gauge groups.