arXiv:hep-lat/9612016·v1·High Energy Physics — Lattice
Infrared Renormalons and Finite Volume
F. DiRenzo (Dep. of Mathematical Sciences, University of Liverpool, United Kingdom)🇬🇧 · G. Marchesini (Dip. di Fisica, Universita` di Milano, Italy)🇮🇹 · E.Onofri (Dip. di Fisica, Universita` di Parma, Italy)🇮🇹
Abstract
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.
Comments: LaTeX file, 6 figures in postscript