TY  - JOUR
AU  - Binosi, D.
AU  - Papavassiliou, J.
PY  - 2011
DA  - 2011//
TI  - Gauge invariant Ansatz for a special three-gluon vertex
T2  - J. High Energy Phys.
JO  - Journal of High Energy Physics
SP  - 121
EP  - 23pp
VL  - 03
IS  - 3
PB  - Springer
KW  - Nonperturbative Effects
KW  - QCD
AB  - 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.
SN  - 1126-6708
UR  - http://arXiv.org/abs/arXiv:1102.5662
UR  - https://doi.org/10.1007/JHEP03(2011)121
DO  - 10.1007/JHEP03(2011)121
LA  - English
N1  - ISI:000289295300049
ID  - Binosi+Papavassiliou2011
ER  -