%0 Journal Article
%T Gauge invariant Ansatz for a special three-gluon vertex
%A Binosi, D.
%A Papavassiliou, J.
%J Journal of High Energy Physics
%D 2011
%V 03
%N 3
%I Springer
%@ 1126-6708
%G English
%F Binosi+Papavassiliou2011
%O ISI:000289295300049
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=624), last updated on Mon, 23 May 2011 14:59:56 +0000
%X We construct a general Ansatz for the three-particle vertex describing the interaction of one background and two quantum gluons, by simultaneously solving the Ward and Slavnov-Taylor identities it satisfies. This vertex is known to be essential for the gauge-invariant truncation of the Schwinger-Dyson equations of QCD, based on the pinch technique and the background field method. A key step in this construction is the formal derivation of a set of crucial constraints (shown to be valid to all orders), relating the various form factors of the ghost Green's functions appearing in the aforementioned Slavnov-Taylor identity. When inserted into the Schwinger-Dyson equation for the gluon propagator, this vertex gives rise to a number of highly non-trivial cancellations, which are absolutely indispensable for the self-consistency of the entire approach.
%K Nonperturbative Effects
%K QCD
%R 10.1007/JHEP03(2011)121
%U http://arXiv.org/abs/arXiv:1102.5662
%U https://doi.org/10.1007/JHEP03(2011)121
%P 121-23pp