Nonperturbative four-gluon vertex in soft kinematics
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913465889718272 |
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| author | Aguilar, A. C. De Soto, F. Ferreira, M. N. Papavassiliou, J. Pinto-Gómez, F. Rodríguez-Quintero, J. Santos, L. R. |
| author_facet | Aguilar, A. C. De Soto, F. Ferreira, M. N. Papavassiliou, J. Pinto-Gómez, F. Rodríguez-Quintero, J. Santos, L. R. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_06135 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonperturbative four-gluon vertex in soft kinematics Aguilar, A. C. De Soto, F. Ferreira, M. N. Papavassiliou, J. Pinto-Gómez, F. Rodríguez-Quintero, J. Santos, L. R. High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory 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. |
| title | Nonperturbative four-gluon vertex in soft kinematics |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2408.06135 |