%0 Journal Article
%T Evidence of ghost suppression in gluon mass scale dynamics
%A Aguilar, A. C.
%A Binosi, D.
%A Figueiredo, C. T.
%A Papavassiliou, J.
%J European Physical Journal C
%D 2018
%V 78
%N 3
%I Springer
%@ 1434-6044
%G English
%F Aguilar_etal2018
%O WOS:000426838900005
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=3515), last updated on Mon, 26 Mar 2018 22:30:34 +0000
%X In this work we study the impact that the ghost sector of pure Yang-Mills theories may have on the generation of a dynamical gauge boson mass scale, which hinges on the appearance of massless poles in the fundamental vertices of the theory, and the subsequent realization of the well-known Schwinger mechanism. The process responsible for the formation of such structures is itself dynamical in nature, and is governed by a set of Bethe-Salpeter type of integral equations. While in previous studies the presence of massless poles was assumed to be exclusively associated with the background-gauge three-gluon vertex, in the present analysis we allow them to appear also in the corresponding ghost-gluon vertex. The full analysis of the resulting Bethe-Salpeter system reveals that the contribution of the poles associated with the ghost-gluon vertex are particularly suppressed, their sole discernible effect being a slight modification in the running of the gluon mass scale, for momenta larger than a few GeV. In addition, we examine the behavior of the (background-gauge) ghost-gluon vertex in the limit of vanishing ghost momentum, and derive the corresponding version of Taylor's theorem. These considerations, together with a suitable Ansatz, permit us the full reconstruction of the pole sector of the two vertices involved.
%R 10.1140/epjc/s10052-018-5679-2
%U http://arxiv.org/abs/1712.06926
%U https://doi.org/10.1140/epjc/s10052-018-5679-2
%P 181 - 15pp