On Exponential corrections to the 1/N expansion in two-dimensional Yang Mills theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, 3 figures ; v2,3 -refs added

Scientific paper

10.1088/1126-6708/2005/08/077

We compute $e^{-AN}$ corrections to the Gross-Taylor 1/N expansion of the paritition function of two-dimensional SU(N) and U(N) Yang Mills theory. We find a very similar structure of mixing between holomorphic and anti-holomorphic sectors as that described by Vafa for the 1/N expansion. Some of the non-perturbative terms are suggestive of D-strings wrapping the $T^2$ of the 2dYM but blowing up into a fuzzy geometry by the Myers effect in the directions transverse to the $T^2$.

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