%0 Journal Article %A Aguilar, A.C. %A de Soto, Feliciano %A Ferreira, M.N. %A Papavassiliou, J. %A Pinto-Gómez, F. %A Rodríguez-Quintero, J. %A Santos, L.R. %T Nonperturbative four-gluon vertex in soft kinematics %D 2024 %U https://hdl.handle.net/10433/22787 %X We present a nonperturbative study of the form factor associated with the projection of the full four-gluon vertex on its classical tensor, for a set of kinematics with one vanishing and three arbitrary external momenta. The treatment is based on the Schwinger-Dyson equation governing this vertex, and a large-volume lattice simulation, involving ten thousand gauge field configurations. The key hypothesis employed in both approaches is the “planar degeneracy”, which classifies diverse configurations by means of a single variable, thus enabling their meaningful “averaging”. The results of both approaches show notable agreement, revealing a considerable suppression of the averaged form factor in the infrared. The deviations from the exact planar degeneracy are discussed in detail, and a supplementary variable is used to achieve a more accurate description. The effective charge defined through this special form factor is computed within both approaches, and the results obtained are in excellent agreement. %K Quantum chromodynamics %K Four-gluon vertex %K Lattice QCD %K Schwinger-Dyson equations %~