@Article{Binosi+Papavassiliou2011, author="Binosi, D. and Papavassiliou, J.", title="Gauge invariant Ansatz for a special three-gluon vertex", journal="Journal of High Energy Physics", year="2011", publisher="Springer", volume="03", number="3", pages="121--23pp", optkeywords="Nonperturbative Effects; QCD", abstract="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{\textquoteright}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.", optnote="ISI:000289295300049", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=624), last updated on Mon, 23 May 2011 14:59:56 +0000", issn="1126-6708", doi="10.1007/JHEP03(2011)121", opturl="http://arXiv.org/abs/arXiv:1102.5662", opturl="https://doi.org/10.1007/JHEP03(2011)121", language="English" }