@Article{Aguilar+Papavassiliou2010, author="Aguilar, A. C. and Papavassiliou, J.", title="Gluon mass generation without seagull divergences", journal="Physical Review D", year="2010", publisher="Amer Physical Soc", volume="81", number="3", pages="034003--19pp", abstract="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.", optnote="ISI:000275069000024", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=493), last updated on Wed, 09 Mar 2011 21:52:27 +0000", issn="1550-7998", doi="10.1103/PhysRevD.81.034003", opturl="http://arxiv.org/abs/0910.4142", opturl="https://doi.org/10.1103/PhysRevD.81.034003", archivePrefix="arXiv", eprint="0910.4142", language="English" }