We consider the gluon propagator $D(p^2)$ at various lattice sizes and spacings in the case of pure SU(3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of fits in the infrared region in order to (in)validate the tree level analytical prediction in terms of the (refined) Gribov-Zwanziger framework. It turns out that an important role is played by the presence of the widely studied dimension two gluon condensate $⟨A^2⟩$. Including this effect allows to obtain an acceptable fit around 1 to 1.5 GeV, while corroborating the refined Gribov-Zwanziger prediction for the gluon propagator. We also discuss the infinite volume extrapolation, leading to the estimate $D(0)=8.3\pm 0.5{\mathrm{GeV}}^{-2}$. As a by-product, we can also provide the prediction $⟨g^2{A}^2⟩\approx 3{\mathrm{GeV}}^2$ obtained at the renormalization scale $\mu =10\mathrm{GeV}$.

• Received 12 February 2010

DOI:https://doi.org/10.1103/PhysRevD.81.074505