RT Journal Article
T1 Lattice three-gluon vertex in extended kinematics: Planar degeneracy
A1 Pinto Gómez, F.
A1 Soto Borrero, Feliciano Carlos de
A1 Ferreira, M. N.
A1 Papavassiliou, J.
A1 Rodríguez Quintero, José
AB 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 (q2,r2,p2) 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 q2=r2, 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.
PB Elsevier
SN 0370-2693
SN 1873-2445 (electrónico)
YR 2023
FD 2023
LK https://hdl.handle.net/10272/21871
UL https://hdl.handle.net/10272/21871
LA eng
NO Pinto-Gómez, F., De Soto, F., Ferreira, M. N., Papavassiliou, J., & Rodríguez-Quintero, J. (2023). Lattice three-gluon vertex in extended kinematics: Planar degeneracy. In Physics Letters B (Vol. 838, p. 137737). Elsevier BV. https://doi.org/10.1016/j.physletb.2023.137737
NO The authors thank A. C. Aguilar, G. Eichmann and C. D. Roberts for useful discussions. M.N.F. acknowledges financial support from the FAPESP projects 2017/05685-2 and 2020/12795-1, respectively. J.P. is supported by the Spanish MICINN grant PID2020-113334GB-I00 and the regional Prometeo/2019/087 from the Generalitat Va-lenciana; while F.D.S. and J.R.Q. are by the Spanish MICINN grant PID2019-107844GB-C22 and the regional Andalusian P18-FR-5057. All calculations have been performed at the UPO computing center, C3UPO.
DS Repositorio Institucional de la Universidad de Huelva
RD 1 jun 2026