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Gauge invariant Ansatz for a special three-gluon vertex

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	Binosi, Daniele; Papavassiliou, Joannis
	Aquest document és un/a article, creat/da en: 2011
	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.
	Binosi, Daniele Papavassiliou, Joannis 2011 Gauge invariant Ansatz for a special three-gluon vertex Journal of High Energy Physics 2011 03 121
	http://dx.doi.org/10.1007/JHEP03(2011)121