Is the QCD ghost dressing function finite at zero momentum ?

Details Is the QCD ghost dressing function finite at zero momentum ? Is the QCD ghost dressing function finite at zero momentum ?

2006-04-06

arxiv.org/abs/hep-ph/0604056v1

JHEP 0606:001,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 2 figures

Scientific paper

10.1088/1126-6708/2006/06/001

We show that a finite non-vanishing ghost dressing function at zero momentum satisfies the scaling properties of the ghost propagator Schwinger-Dyson equation. This kind of Schwinger-Dyson solutions may well agree with lattice data and provides an interesting alternative to the widely spread claim that the gluon dressing function behaves like the inverse squared ghost dressing function, a claim which is at odds with lattice data. We demonstrate that, if the ghost dressing function is less singular than any power of $p$, it must be finite non-vanishing at zero momentum: any logarithmic behaviour is for instance excluded. We add some remarks about coupled Schwinger-Dyson analyses.

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