Lattice three-gluon vertex in extended kinematics: Planar degeneracy

We present novel results for the three-gluon vertex, obtained from an extensive quenched lattice simulation in Landau gauge. The evaluates transversely projected spanned on a special tensorial basis, whose form factors are naturally parametrized terms of individually Bose-symmetric variables. Quite interestingly, when evaluated these kinematics, corresponding depend almost exclusively single kinematic variable, formed by sum squares three incoming four-momenta, q, r, and p. Thus, all configurations lying given plane coordinate system (q2,r2,p2) share, to high degree accuracy, same factors, property that we denominate planar degeneracy. have confirmed validity this through exhaustive study set satisfying condition q2=r2, within range [0,5GeV]. This drastic simplification allows remarkably compact description main bulk data, which is particularly suitable future numerical applications. A semi-perturbative analysis reproduces findings rather accurately, once inclusion gluon mass has cured spurious divergences.