Aguilar, A.C.de Soto, FelicianoFerreira, M.N.Papavassiliou, J.Pinto-Gómez, F.Rodríguez-Quintero, J.Santos, L.R.2025-01-292025-01-292024Aguilar, A. C., De Soto, F., Ferreira, M. N., Papavassiliou, J., Pinto-Gómez, F., Rodríguez-Quintero, J., & Santos, L. R. (2024). Nonperturbative four-gluon vertex in soft kinematics. Physics Letters. B, 858, 139065-.10.1016/j.physletb.2024.139065https://hdl.handle.net/10433/22787We 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.application/pdfenAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/Quantum chromodynamicsFour-gluon vertexLattice QCDSchwinger-Dyson equationsjournal articleopen access