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Modeling the Landau-gauge ghost propagator in 2, 3, and 4 spacetime dimensions

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摘要

We present an analytic description of numerical results for the ghost propagator G(p(2)) in the minimal Landau gauge on the lattice. The data were produced in the SU(2) case using the largest lattice volumes to date, for d = 2, 3 and 4 spacetime dimensions. Our proposed form for G(p(2)) is derived from the one-loop relation between ghost and gluon propagators, considering a tree-level ghost-gluon vertex and our previously obtained gluon-propagator results A. Cucchieri et al., Phys. Rev. D 85, 094513 (2012). Although this one-loop expression is not a good description of the data, it leads to a one-parameter fit of our ghost-propagator data with a generally good value of chi(2)/d.o.f., comparable to other fitting forms used in the literature. At the same time, we present a simple parametrization of the difference between the lattice data and the one-loop predictions.

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