In this talk, we consider SU(N) Yang-Mills theory quantized in the linear covari-
ant gauges, while taking into account the issue of Gribov copies. We construct the
one-loop e?ective potential for a set of mass dimension 2 condensates, including the
Gribov parameter, that re?ne the infrared region of the Gribov-Zwanziger theory,
whilst maintaining the renormalization group invariance.
This is based on work-in-preparation with D.Dudal (KU Leuven & UGent, Bel-
gium), L. Palhares (UERJ, Brasil) and F.Rondeau (ENS Paris-Saclay, France & KU