https://doi.org/10.1140/epjc/s10052-016-4368-2
Regular Article - Theoretical Physics
Non-perturbative BRST quantization of Euclidean Yang–Mills theories in Curci–Ferrari gauges
1
Instituto de Física, Campus da Praia Vermelha, UFF, Universidade Federal Fluminense, Avenida General Milton Tavares de Souza s/n, Niterói, RJ, 24210-346, Brazil
2
Max Planck Institute for Gravitational Physics, Albert Einstein Institute, Am Mühlenberg 1, 14476, Potsdam, Germany
3
Departamento de Física Teórica, UERJ, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, Maracanã, Rio de Janeiro, 20550-013, Brazil
* e-mail: aduarte@if.uff.br
** e-mail: duarte763@gmail.com
Received:
6
June
2016
Accepted:
12
September
2016
Published online:
27
September
2016
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.
© The Author(s), 2016