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arXiv · 1602.01646

Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions

Attilio Cucchieri·David Dudal·Tereza Mendes·Nele Vandersickel
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Abstract

We present an analytic description of numerical results for the ghost propagator G(p^2) in 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 space-time 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 \cite{Cucchieri:2011ig}. 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/dof, 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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Attilio Cucchieri, David Dudal, Tereza Mendes, Nele Vandersickel. 2016-02-04. Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions. https://doi.org/10.1103/physrevd.93.094513

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