%0 Journal Article
%T Gluon mass generation without seagull divergences
%A Aguilar, A. C.
%A Papavassiliou, J.
%J Physical Review D
%D 2010
%V 81
%N 3
%I Amer Physical Soc
%@ 1550-7998
%G English
%F Aguilar+Papavassiliou2010
%O ISI:000275069000024
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=493), last updated on Wed, 09 Mar 2011 21:52:27 +0000
%X Dynamical gluon mass generation has been traditionally plagued with seagull divergences, and all regularization procedures proposed over the years yield finite but scheme-dependent gluon masses. In this work we show how such divergences can be eliminated completely by virtue of a characteristic identity, valid in dimensional regularization. The ability to trigger the aforementioned identity hinges crucially on the particular Ansatz employed for the three-gluon vertex entering into the Schwinger-Dyson equation governing the gluon propagator. The use of the appropriate three-gluon vertex brings about an additional advantage: one obtains two separate (but coupled) integral equations, one for the effective charge and one for the gluon mass. This system of integral equations has a unique solution, which unambiguously determines these two quantities. Most notably, the effective charge freezes in the infrared, and the gluon mass displays power-law running in the ultraviolet, in agreement with earlier considerations.
%R 10.1103/PhysRevD.81.034003
%U http://arxiv.org/abs/0910.4142
%U https://doi.org/10.1103/PhysRevD.81.034003
%P 034003-19pp