Pinto Gómez, F.Soto Borrero, Feliciano Carlos deFerreira, M. N.Papavassiliou, J.Rodríguez Quintero, José2023-03-272023-03-272023Pinto-Gómez, F., De Soto, F., Ferreira, M. N., Papavassiliou, J., & Rodríguez-Quintero, J. (2023). Lattice three-gluon vertex in extended kinematics: Planar degeneracy. In Physics Letters B (Vol. 838, p. 137737). Elsevier BV. https://doi.org/10.1016/j.physletb.2023.1377370370-26931873-2445 (electrónico)https://hdl.handle.net/10272/21871We 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.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/QCDThree-gluon vertexLattice QCDSchwinger-Dyson equationsjournal article10.1016/j.physletb.2023.137737open access22 Física