Abstract
We review several developments in the formulation of QCD provided by the GZ action. These include the GZ-action at finite temperature, the relation of the horizon condition and the Kugo-Ojima confinement criterion, the relation of the horizon condition and the dual-Meisssner effect, the alternative derivation of the GZ action provided by the Maggiore-Schaden shift, and the spontaneous breaking of BRST symmetry. We conclude with a proposal for the definition of physical states in the presence of BRST breaking.
Highlights
This article is dedicated to the memory of Vladimir Gribov
There is a benefit because the local action L = LYM + sΨ, has a new symmetry, the BRST-symmetry, with sL = 0, that is not present in the non-local theory. This symmetry allows us to characterize physical observables: they are the operators G that are invariant under the BRST symmetry, Wphys ≡ {G : sG = 0}
We offer as a conjecture that BRST symmetry is not broken by s-exact operators in Wphys
Summary
This article is dedicated to the memory of Vladimir Gribov. In it we review several developments that emerged from his paper of 1977 [1] on the quantization of gauge fields. In it he explained how the non-perturbative nature of non-abelian gauge theory, manifested in what are called “Gribov copies." leads to a long-range, potentially confining force
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