Infrared Behavior of the Ghost Propagator in the Landau Gauge Yang-Mills Theory

We prove that the Faddeev-Popov ghost dressing function in the Yang-Mills theory is nonzero and finite in the limit of vanishing momenta and hence the ghost propagator behaves like the free propagator in the deep infrared regime, within the Gribov-Zwanziger framework of the D-dimensional SU(N) Yang-Mills theory in the Landau gauge for D > 2. This result implies that the Kugo-Ojima color confinement criterion is not satisfied in its original form. We point out that the result crucially depends on the explicit form of the nonlocal horizon term adopted. The original Gribov prediction in the Landau gauge should be reconsidered in connection with color confinement.