%0 Journal Article
%T Schwinger poles of the three-gluon vertex: symmetry and dynamics
%A Aguilar, A. C.
%A Ferreira, M. N.
%A Oliveira, B. M.
%A Papavassiliou, J.
%A Santos, L. R.
%J European Physical Journal C
%D 2023
%V 83
%N 10
%I Springer
%@ 1434-6044
%G English
%F Aguilar_etal2023
%O WOS:001118963200001
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5861), last updated on Mon, 08 Jan 2024 08:21:26 +0000
%X The implementation of the Schwinger mechanism endows gluons with a nonperturbative mass through the formation of special massless poles in the fundamental QCD vertices; due to their longitudinal character, these poles do not cause divergences in on-shell amplitudes, but induce detectable effects in the Green's functions of the theory. Particularly important in this theoretical setup is the three-gluon vertex, whose pole content extends beyond the minimal structure required for the generation of a gluon mass. In the present work we analyze these additional pole patterns by means of two distinct, but ultimately equivalent, methods: the Slavnov-Taylor identity satisfied by the three-gluon vertex, and the nonlinear Schwinger-Dyson equation that governs the dynamical evolution of this vertex. Our analysis reveals that the Slavnov-Taylor identity imposes strict model-independent constraints on the associated residues, preventing them from vanishing. Approximate versions of these constraints are subsequently recovered from the Schwinger-Dyson equation, once the elements responsible for the activation of the Schwinger mechanism have been duly incorporated. The excellent coincidence between the two approaches exposes a profound connection between symmetry and dynamics, and serves as a nontrivial self-consistency test of this particular mass generating scenario.
%R 10.1140/epjc/s10052-023-12058-w
%U https://arxiv.org/abs/2306.16283
%U https://doi.org/10.1140/epjc/s10052-023-12058-w
%P 889 - 20pp