Infrared renormalons and finite volume Original Research Article

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.