We show how to perform a resummation, to all orders in perturbation theory, of a certain class of gauge-invariant diagrams in lattice QCD. These diagrams are often largely responsible for lattice artifacts. Our resummation leads to an improved perturbative expansion. Applied to a number of cases of interest, this expansion yields results remarkably close to corresponding nonperturbative estimates.

• Received 8 June 1998

DOI:https://doi.org/10.1103/PhysRevD.58.114501