An equivalent formulation of the Gribov-Zwanziger theory accounting for the
gauge fixing ambiguity in the Landau gauge is presented. The resulting action
is constrained by a Slavnov-Taylor identity stemming from a nilpotent exact
BRST invariance which is spontaneously broken due to the presence of the Gribov
horizon. This spontaneous symmetry breaking can be described in a purely
algebraic way through the introduction of a pair of auxiliary fields which give
rise to a set of linearly broken Ward identities. The Goldstone sector turns
out to be decoupled. The underlying exact nilpotent BRST invariance allows to
employ BRST cohomology tools within the Gribov horizon to identify
renormalizable extensions of gauge invariant operators. Using a simple toy
model and appropriate Dirac bracket quantization, we discuss the time-evolution
invariance of the operator cohomology. We further comment on the unitarity
issue in a confining theory, and stress that BRST cohomology alone is not
sufficient to ensure unitarity, a fact, although well known, frequently
ignored.Comment: 13 pages. v2: corrected typ