Abstract
We study the behavior of the gluon and ghost dressing functions in $SU(3)$ Landau gauge at low momenta available on lattice sizes ${12}^{4}--{32}^{4}$ at $\ensuremath{\beta}=5.8$, $6.0$ and $6.2$. We demonstrate the ghost dressing function to be systematically dependent on the choice of Gribov copies, while the influence on the gluon dressing function is not resolvable. The running coupling given in terms of these functions is found to be decreasing for momenta $q<0.6\text{ }\text{ }\mathrm{GeV}$. We study also effects of the finite volume and of the lattice discretization.
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