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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Bibliographic Details
Published in:Physics letters. B 2024-11, Vol.858, p.139065, Article 139065
Main Authors: Aguilar, A.C., De Soto, F., Ferreira, M.N., Papavassiliou, J., Pinto-Gómez, F., Rodríguez-Quintero, J., Santos, L.R.
Format: Article
Language:English
Subjects:
Four-gluon vertex
Lattice QCD
Quantum chromodynamics
Schwinger-Dyson equations
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Summary: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.
ISSN:0370-2693
DOI:10.1016/j.physletb.2024.139065