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We study the asymptotic behavior of the ghost propagator in the quenchedSU(3) lattice gauge theory with Wilson action. The study is performed onlattices with a physical volume fixed around 1.6 fm and different latticespacings: 0.100 fm, 0.070 fm and 0.055 fm. We implement an efficient algorithmfor computing the Faddeev-Popov operator on the lattice. We are able toextrapolate the lattice data for the ghost propagator towards the continuum andto show that the extrapolated data on each lattice can be described up tofour-loop perturbation theory from 2.0 GeV to 6.0 GeV. The three-loop valuesare consistent with those extracted from previous perturbative studies of thegluon propagator. However the effective $\Lambda_{\ms}$ scale which reproducesthe data does depend strongly upon the order of perturbation theory and on therenormalization scheme used in the parametrization. We show how the truncationof the perturbative series can account for the magnitude of the dependency inthis energy range. The contribution of non-perturbative corrections will bediscussed elsewhere.Comment: 26 pages, 7 figure

Large momentum behavior of the ghost propagator in SU(3) lattice gauge theory