The BRST-invariant vacuum state of the Gribov–Zwanziger theory

Abstract

Abstract 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.