@article{10272/21871,
year = {2023},
url = {https://hdl.handle.net/10272/21871},
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 Bose-symmetric 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 [0,5GeV]. 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.},
organization = {The authors thank A. C. Aguilar, G. Eichmann and C. D. Roberts for useful discussions. M.N.F. acknowledges financial support from the FAPESP projects 2017/05685-2 and 2020/12795-1, respectively. J.P. is supported by the Spanish MICINN grant PID2020-113334GB-I00 and the regional Prometeo/2019/087 from the Generalitat Va-lenciana; while F.D.S. and J.R.Q. are by the Spanish MICINN grant PID2019-107844GB-C22 and the regional Andalusian P18-FR-5057. All calculations have been performed at the UPO computing center, C3UPO.},
publisher = {Elsevier},
title = {Lattice three-gluon vertex in extended kinematics: Planar degeneracy},
doi = {10.1016/j.physletb.2023.137737},
author = {Pinto Gómez, F. and Soto Borrero, Feliciano Carlos de and Ferreira, M. N. and Papavassiliou, J. and Rodríguez Quintero, José},
}