Nonperturbative four-gluon vertex in soft kinematics

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, a...

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Detalles Bibliográficos
Autores: Aguilar, A.C., de Soto, Feliciano, Ferreira, M.N., Papavassiliou, J., Pinto-Gómez, F., Rodríguez-Quintero, J., Santos, L.R.
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad Pablo de Olavide (UPO)
Repositorio:RIO. Repositorio Institucional Olavide
Idioma:inglés
OAI Identifier:oai:rio.upo.es:10433/22787
Acceso en línea:https://hdl.handle.net/10433/22787
Access Level:acceso abierto
Palabra clave:Quantum chromodynamics
Four-gluon vertex
Lattice QCD
Schwinger-Dyson equations
Descripción
Sumario: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.