A consistency check for renormalons in lattice gauge theory: β−10 contributions to the su(3) plaquette∗

Abstract

We compute the perturbative expansion of the Lattice SU(3) plaquette to order β−10 on 84 and 244 volumes. The result is found to be consistent both with the expected renormalon behaviour and with finite size effects on top of that. Complete control over the latter effects was the only loose end still to be tied up from previous works of our group.