Infrared Renormalons and Finite Volume

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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LaTeX file, 6 figures in postscript

Scientific paper

10.1016/S0550-3213(97)00243-5

We analyze the perturbative expansion of a condensate in the O(N) non-linear sigma model for large N on a two dimensional finite lattice. On an infinite volume this expansion is affected by an infrared renormalon. We extrapolate this analysis to the case of the gluon condensate of Yang-Mills theory and argue that infrared renormalons can be detected by performing perturbative studies even on relatively small lattices.

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