  The non-perturbative gluon and ghost propagators in Landau gauge QCD are
obtained using the Schwinger-Dyson equation approach. The propagator equations
are solved in Euclidean space using Landau gauge with a range of vertex inputs.
Initially we solve for the ghost alone, using a model gluon input, which leads
us to favour a finite ghost dressing in the non-perturbative region. In order
to then solve the gluon and ghost equations simultaneously, we find that
non-trivial vertices are required, particularly for the gluon propagator in the
small momentum limit. We focus on the properties of a number vertices and how
these differences influence the final solutions. The self-consistent solutions
we obtain are all qualitatively similar and contain a masslike term in the
gluon propagator dressing in agreement with related studies, supporting the
long-held proposal of Cornwall.
