Non-perturbative BRST quantization of Euclidean Yang–Mills theories in Curci–Ferrari gauges

摘要

In this paper we address the issue of the non-perturbative quantization of Euclidean Yang–Mills theories in the Curci–Ferrari gauge. In particular, we construct a refined Gribov–Zwanziger action for this gauge, which takes into account the presence of gauge copies as well as the dynamical formation of dimension-two condensates. This action enjoys a non-perturbative BRST symmetry recently proposed in Capri et al. (Phys. Rev. D 92(4), 045039. doi:10.1103/PhysRevD.92.045039. arXiv:1506.06995 [hep-th], 2015). Finally, we pay attention to the gluon propagator in different space-time dimensions.