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Título: | Lattice three-gluon vertex in extended kinematics: Planar degeneracy |
Autor: | Pinto-Gómez, F.; De Soto, F.; Ferreira, M.N.; Papavassiliou, Joannis CSIC ORCID CVN; Rodríguez-Quintero, J. | Fecha de publicación: | mar-2023 | Editor: | Elsevier BV | Citación: | PHYSICS LETTERS B 838: 137737 (2023) | Resumen: | We present novel results for the three-gluon vertex, obtained from an extensive quenched lattice simulation in the Landau gauge. The simulation evaluates the transversely projected vertex, spanned on a special tensorial basis, whose form factors are naturally parametrized in terms of individually Bose-symmetric variables. Quite interestingly, when evaluated in these kinematics, the corresponding form factors depend almost exclusively on a single kinematic variable, formed by the sum of the squares of the three incoming four-momenta, q, r, and p. Thus, all configurations lying on a given plane in the coordinate system (q,r,p) share, to a high degree of accuracy, the same form factors, a property that we denominate planar degeneracy. We have confirmed the validity of this property through an exhaustive study of the set of configurations satisfying the condition q=r, within the range [0,5GeV]. This drastic simplification allows for a remarkably compact description of the main bulk of the data, which is particularly suitable for future numerical applications. A semi-perturbative analysis reproduces the lattice findings rather accurately, once the inclusion of a gluon mass has cured all spurious divergences. | Versión del editor: | http://dx.doi.org/10.1016/j.physletb.2023.137737 | URI: | http://hdl.handle.net/10261/309782 | DOI: | 10.1016/j.physletb.2023.137737 | Identificadores: | doi: 10.1016/j.physletb.2023.137737 issn: 0370-2693 |
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