Gluon mass generation without seagull divergences

Details Gluon mass generation without seagull divergences Gluon mass generation without seagull divergences

2009-10-21

arxiv.org/abs/0910.4142v2

Phys.Rev.D81: 034003, 2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

37 pages, 9 figures; minor typos corrected and a few brief explanatory remarks added

Scientific paper

10.1103/PhysRevD.81.034003

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.

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