Agradecimentos: The work of A. C. A. and L. R. S. is supported by the CNPq grants 310763/2023-1 and 162264/2022-4, and is part of the project INCT-FNA 464898/2014-5. This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brasil (CAPES) - Finance Code 001 (L. R. S.). M. N. F. acknowledges financial support from the National Natural Science Foundation of China (grants 12135007 and W2433021). The research of J. P. is supported by the Spanish MICINN grant PID2020-113334GB-I00, the Generalitat Valenciana grant CIPROM/2022/66, and in part by the EMMI visiting grant of the ExtreMe Matter Institute EMMI at the GSI, Darmstadt, Germany. F. D. S., J. R. Q. and F. P. G. acknowledge financial support from the Spanish MICINN research grant PID2022-140440NB-C22. F. P. G. also acknowledges support from Banco Santander Universidades. The authors acknowledge the C3UPO of the Pablo de Olavide University for the support with HPC facilities Ver menos

Abstract: 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 Ver menos