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Lattice three-gluon vertex in extended kinematics: Planar degeneracy

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Author(s):
Pinto-Gomez, F. ; De Soto, F. ; Ferreira, M. N. ; Papavassiliou, J. ; Rodriguez-Quintero, J.
Total Authors: 5
Document type: Journal article
Source: Physics Letters B; v. 838, p. 8-pg., 2023-02-08.
Abstract

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 Bosesymmetric 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, 5 GeV]. 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. (c) 2023 Published by Elsevier B.V. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3. (AU)

FAPESP's process: 20/12795-1 - Evolution of the energy-momentum tensor during the pre-equilibrium phase of a heavy-ion collision
Grantee:Antonio Maurício Soares Narciso Ferreira
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 17/05685-2 - Hadronic physics in high energy nuclear collisions
Grantee:Jun Takahashi
Support Opportunities: Special Projects