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We study the Landau gauge gluon and ghost propagators of SU(3) gauge theory,employing the logarithmic definition for the lattice gluon fields andimplementing the corresponding form of the Faddeev-Popov matrix. This isnecessary in order to consistently compare lattice data for the barepropagators with that of higher-loop numerical stochastic perturbation theory(NSPT). In this paper we provide such a comparison, and introduce what isneeded for an efficient lattice study. When comparing our data for thelogarithmic definition to that of the standard lattice Landau gauge we clearlysee the propagators to be multiplicatively related. The data of the associatedghost-gluon coupling matches up almost completely. For the explored latticespacings and sizes discretization artifacts, finite-size and Gribov-copyeffects are small. At weak coupling and large momentum, the bare propagatorsand the ghost-gluon coupling are seen to be approached by those of higher-orderNSPT.

SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition