
By resumming the Feynman graphs which contribute to any gaugeinvariant process we explicitly construct, at oneloop order, a threegluon vertex for QCD which is completely independent of the choice of gauge. This vertex satisfies a Ward identity of the type encountered in ghostfree gauges, relating the vertex to the proper selfenergy of a previously constructed gluon propagator, also found by resumming graphs; like the vertex, this selfenergy is completely gauge invariant. We also derive the gaugeinvariant propagator and vertex via a second related technique which minimizes the dependence on embedding these objects in a gaugeinvariant process; the same results are found as in the first technique. These results motivate a toy model of the nonlinear SchwingerDyson equation satisfied by the exact gaugeinvariant threegluon vertex. This model is nonperturbative and has infrared singularities, which we can remove via gluon mass generation; it shows many interesting features expected of QCD, such as a beta function which is not Borel summable in perturbation theory.
