  We determine the non-Abelian version of the four longitudinal form factors of
the quark-gluon vertex, using exact expressions derived from the Slavnov-Taylor
identity that this vertex satisfies. In addition to the quark and ghost
propagators, a key ingredient of the present approach is the quark-ghost
scattering kernel, which is computed within the one-loop dressed approximation.
The vertex form factors obtained from this procedure are evaluated for
arbitrary Euclidean momenta, and display features not captured by the
well-known Ball-Chiu vertex, deduced from the Abelian (ghost-free) Ward
identity. The potential phenomenological impact of these results is evaluated
through the study of special renormalization-point-independent combinations,
which quantify the strength of the interaction kernels appearing in the
standard quark gap and Bethe-Salpeter equations.

High Energy Physics - Phenomenology;High Energy Physics - Lattice;High Energy Physics - Theory