We report novel lattice QCD results for the three-gluon vertex from quenched lattice-QCD simulations. Using standard Wilson action, we have computed the three gluon vertex beyond the usual kinematic restriction to the symmetric (q² = r² = p²) and soft-gluon (p = 0) cases where it depends on a single momentum scale. We will present a detailed analysis of the asymmetric case (r² = q² ≠ p²) where the transversely projected vertex can be cast in terms of three independent tensors.
The lattice data show a clear dominance of the form-factor corresponding to the tree-level tensor.
For the general kinematical configuration (q² ≠ r² ≠ p²); we have computed the projection of the three-gluon vertex providing the relevant information on the ghost-gluon kernel-related function W(q²) that appears in the recently discussed smoking-gun signals of the Schwinger mechanism in QCD. This projection exhibits a striking scaling in terms of (q² + r² + p²)/2.