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In previous works, we have constructed a refined version of theGribov-Zwanziger action in 4 dimensions, by taking into account a noveldynamical effect. In this paper, we explore the 3-dimensional case. Analogouslyas in 4 dimensions, we obtain a ghost propagator behaving like $1/p^2$ in theinfrared, while the gluon propagator reaches a finite nonvanishing value atzero momentum. Simultaneously, a clear violation of positivity by the gluonpropagator is also found. This behaviour of the propagators turns out be inagreement with the recent numerical simulations.

The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions