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      Gluon mass generation without seagull divergences

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          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.

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          Most cited references2

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          Dynamical mass generation in continuum quantum chromodynamics

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            TheSMatrix in Quantum Electrodynamics

            F Dyson (1949)
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              Author and article information

              Journal
              21 October 2009
              2009-10-30
              Article
              10.1103/PhysRevD.81.034003
              0910.4142
              f6e1b9a4-6406-4777-9bdb-d7874a3ac223

              http://arxiv.org/licenses/nonexclusive-distrib/1.0/

              History
              Custom metadata
              Phys.Rev.D81:034003,2010
              37 pages, 9 figures; minor typos corrected and a few brief explanatory remarks added
              hep-ph hep-lat hep-th

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