TY  - JOUR
AU  - Pinto-Gomez, F.
AU  - De Soto, F.
AU  - Ferreira, M. N.
AU  - Papavassiliou, J.
AU  - Rodriguez-Quintero, J.
PY  - 2023
DA  - 2023//
TI  - Lattice three-gluon vertex in extended kinematics: Planar degeneracy
T2  - Phys. Lett. B
JO  - Physics Letters B
SP  - 137737
EP  - 8pp
VL  - 838
PB  - Elsevier
KW  - QCD
KW  - Three-gluon vertex
KW  - Lattice QCD
KW  - Schwinger-Dyson equations
AB  - 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.
SN  - 0370-2693
UR  - https://arxiv.org/abs/2208.01020
UR  - https://doi.org/10.1016/j.physletb.2023.137737
DO  - 10.1016/j.physletb.2023.137737
LA  - English
N1  - WOS:000953425400001
ID  - Pinto-Gomez_etal2023
ER  -