High precision statistical Landau gauge lattice gluon propagator computation vs. the Gribov-Zwanziger approach

In this article we report on lattice results for the Landau gauge gluon propagator using large statistical ensembles. In particular, the compatibility of the lattice data with the tree level predictions of the Refined Gribov-Zwanziger and the Very Refined Gribov-Zwanziger actions is analysed, complementing earlier work using small-scale statistics. Our results show that the data is well described by the tree level estimate only up to momenta p≲1 GeV and clearly favours the so-called Refined Gribov-Zwanziger scenario propagator. For the Very Refined Gribov-Zwanziger action, these results imply a particular relation between d=2 condensates. Furthermore, we also provide a global fit of the lattice data that interpolates between the above scenario at low momenta and the usual continuum one-loop renormalization improved perturbation theory after introducing an infrared log-regularizing term.