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 diagr
ams are often largely responsible for lattice artifacts. Our resummation le
ads to an improved perturbative expansion. Applied to a number of cases of
interest, this expansion yields results remarkably close to corresponding n
onperturbative estimates. [S0556-2821(98)09319-9].