String Theoretical Interpretation for Finite N Yang-Mills Theory in Two-Dimensions

Details String Theoretical Interpretation for Finite N Yang-Mills Theory in Two-Dimensions String Theoretical Interpretation for Finite N Yang-Mills Theory in Two-Dimensions

2004-04-27

arxiv.org/abs/hep-th/0404204v3

Mod.Phys.Lett. A20 (2005) 29-42

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures, LaTeX2e, typos corrected, final version to appear in Modern Physics Letters A

Scientific paper

10.1142/S0217732305016348

We discuss the equivalence between a string theory and the two-dimensional Yang-Mills theory with SU(N) gauge group for finite N. We find a sector which can be interpreted as a sum of covering maps from closed string world-sheets to the target space, whose covering number is less than N. This gives an asymptotic expansion of 1/N whose large N limit becomes the chiral sector defined by D.Gross and W.Taylor. We also discuss that the residual part of the partition function provides the non-perturbative corrections to the perturbative expansion.

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