with bare quark gluon vertex and gaussian Feynman-like gauge gluon propagator had no solutions because of poles in the heavy and light quark propagators. Ideally, one would like improvements in the DSE approximations to move the poles further from the real $k_4$ axis to avoid the region of the $k_4$ plane sampled by a Bethe-Salpeter calculation.

From Table \[tab\] we conclude that simply replacing the bare vertex by the Ball-Chiu vertex in itself does nothing to improve the pole structure of the heavy quark propagator, either for the Landau gauge gluon propagator or the Feynman-like gluon propagator. In particular we find that, as the gaussian width $\alpha$ increases, a mass pole pole moves in along the imaginary $k_4$ axis. A pole on the imaginary axis indicates that the fermion can propagate as a free particle, and the position on the positive imaginary axis gives the contribution to the quark mass from the dynamical self dressing. For the bare vertex, the pole splits into conjugate pairs either side of the imaginary axis as $\alpha$ decreases. In this instance the quark becomes a confined particle. Numerical difficulties described above prevented us from confirming that the same situation occurs in the case of 