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

Understand

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.