On the quark-gluon vertex

There has been growing evidence that the infra-red enhancement of the form factors defining the quark-gluon vertex plays an important role both in dynamical chiral symmetry breaking and confinement, thus providing an intrinsic link between the the two inherently non-perturbative phenomena. Both lattice and Schwinger-Dyson equation studies have begun to calculate these form factors in various kinematical regimes of momenta involved. A natural consistency check for these studies is that they should match onto the perturbative predictions for large momenta where non-perturbative effects mellow down. In this article, we study this matching by carrying out a numerical analysis of the one loop result for the central Ball-Chiu form factor.