https://doi.org/10.1140/epjc/s10052-019-7235-0
Regular Article - Theoretical Physics
The BRST-invariant vacuum state of the Gribov–Zwanziger theory
1
Department of Physics, KU Leuven Campus Kulak Kortrijk, Etienne Sabbelaan 53 bus 7657, 8500, Kortrijk, Belgium
2
Department of Physics and Astronomy, Ghent University, Krijgslaan 281-S9, 9000, Ghent, Belgium
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
4
Ecole Normale Supérieure Paris-Saclay, Avenue du Président Wilson 61, 94235, Cachan Cedex, France
5
Institute of Research and Development, Duy Tân University, P809, 3 Quang Trung, Hải Châu, Da Nang, Vietnam
* e-mail: caroline.felix@kuleuven.be
Received:
7
February
2019
Accepted:
20
August
2019
Published online:
31
August
2019
We revisit the effective action of the Gribov–Zwanziger theory, taking into due account the BRST symmetry and renormalization (group invariance) of the construction. We compute at one loop the effective potential, showing the emergence of BRST-invariant dimension 2 condensates stabilizing the vacuum. This paper sets the stage at zero temperature, and clears the way to studying the Gribov–Zwanziger gap equations, and particularly the horizon condition, at finite temperature in future work.
© The Author(s), 2019
