The low-momentum ghost dressing function and the gluon mass

Details The low-momentum ghost dressing function and the gluon mass The low-momentum ghost dressing function and the gluon mass

2010-04-23

arxiv.org/abs/1004.4135v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 1 fig.

Scientific paper

We study the low-momentum ghost propagator Dyson-Schwinger equation (DSE) in Landau gauge, assuming for the truncation a constant ghost-gluon vertex, as it is extensively done, and a simple model for a massive gluon propagator. Then, regular DSE solutions (the zero-momentum ghost dressing function not diverging) appear to emerge and we show the ghost propagator to be described by an asymptotic expression reliable up to the order ${\cal O}(q^2)$. That expression, depending on the gluon mass and the zero-momentum Taylor-scheme effective charge, is proven to fit pretty well the low-momentum ghost propagator obtained through big-volume lattice simulations.

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