@Article{Pinto-Gomez_etal2023,
author="Pinto-Gomez, F.
and De Soto, F.
and Ferreira, M. N.
and Papavassiliou, J.
and Rodriguez-Quintero, J.",
title="Lattice three-gluon vertex in extended kinematics: Planar degeneracy",
journal="Physics Letters B",
year="2023",
publisher="Elsevier",
volume="838",
pages="137737--8pp",
optkeywords="QCD; Three-gluon vertex; Lattice QCD; Schwinger-Dyson equations",
abstract="We present novel results for the three-gluon vertex, obtained from an extensive quenched lattice simulation in the Landau gauge. The simulation evaluates the transversely projected vertex, spanned on a special tensorial basis, whose form factors are naturally parametrized in terms of individually Bosesymmetric variables. Quite interestingly, when evaluated in these kinematics, the corresponding form factors depend almost exclusively on a single kinematic variable, formed by the sum of the squares of the three incoming four-momenta, q, r, and p. Thus, all configurations lying on a given plane in the coordinate system (q2, r2, p2) share, to a high degree of accuracy, the same form factors, a property that we denominate planar degeneracy. We have confirmed the validity of this property through an exhaustive study of the set of configurations satisfying the condition q2 = r2, within the range [0, 5 GeV]. This drastic simplification allows for a remarkably compact description of the main bulk of the data, which is particularly suitable for future numerical applications. A semi-perturbative analysis reproduces the lattice findings rather accurately, once the inclusion of a gluon mass has cured all spurious divergences.",
optnote="WOS:000953425400001",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5503), last updated on Sun, 09 Apr 2023 17:00:15 +0000",
issn="0370-2693",
doi="10.1016/j.physletb.2023.137737",
opturl="https://arxiv.org/abs/2208.01020",
opturl="https://doi.org/10.1016/j.physletb.2023.137737",
language="English"
}