  The $SU(3)$ gauge-field propagators computed from the lattice have been
exhaustively used in the investigation of the low-momentum dynamics of QCD, in
a judicious interplay with results from other nonperturbative approaches, and
for the extraction of fundamental parameters of QCD like
$\Lambda_{\overline{\rm MS}}$ as well. The impact of the discretization
artifacts and their role in the extrapolation of the results to the continuum
limit have not been fully understood so far. We report here about a very
careful analysis of the physical scaling violation of the Landau-gauge
propagators renormalized in MOM scheme and the Taylor coupling, steering us
towards an insightful understanding of the effects from discretization
artifacts which makes therefore possible a reliable continuum-limit
extrapolation.
