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arXiv · 2408.06135

Nonperturbative four-gluon vertex in soft kinematics

A. C. Aguilar·F. De Soto·M. N. Ferreira·J. Papavassiliou·F. Pinto-Gómez·J. Rodríguez-Quintero·L. R. Santos
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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.

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A. C. Aguilar, F. De Soto, M. N. Ferreira, J. Papavassiliou, F. Pinto-Gómez, J. Rodríguez-Quintero, L. R. Santos. 2024-08-12. Nonperturbative four-gluon vertex in soft kinematics. https://arxiv.org/abs/2408.06135

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