Nontrivial ghost-gluon vertex and the match of the Refined-Gribov-Zwanziger, Dyson-Schwinger equations, and lattice Yang-Mills propagators

Either by solving the ghost propagator Dyson-Schwinger equations or through a one-loop computation in the refined Gribov-Zwanziger (RGZ) formalism, we show that a nontrivial ghost-gluon vertex is required to obtain a ghost propagator prediction compatible with the available corresponding lattice data in the SU(3) case. For the necessary gluon propagator input, we present RGZ tree-level fits which account well for the gluon lattice data. Interestingly, this propagator can be rewritten in terms of a running gluon mass. A comparison of both Dyson-Schwinger equations and RGZ results for the ghost propagator is furthermore provided. We also briefly discuss the connection between the RGZ and the operator product expansion d=2 gluon condensate.J.R.-Q. acknowledges the Spanish MICINN for the support by the research project FPA2011-23781 and "Junta de Andalucia" by P07FQM02962. D. D. is supported by the Research-Foundation Flanders (FWO Vlaanderen). O. O. acknowledges financial support from the F. C. T. research project PTDC/FIS/100968/2008, developed under the initiative QREN financed by the UE/FEDER through the Programme COMPETE-Programa Operacional Factores de Competitividade. We wish to thank A. Cucchieri, O. Pene, Ph. Boucaud, and J. P. Leroy for inspiring discussions. We are furthermore grateful to the Berlin, Moscow, and Adelaide lattice groups for providing us with their data