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We prove that the Faddeev-Popov ghost dressing function in the Yang-Millstheory is non-zero and finite in the limit of vanishing momenta and hence theghost propagator behaves like free in the deep infrared regime, within theGribov-Zwanziger framework of the $D$-dimensional SU(N) Yang-Mills theory inthe Landau gauge for any $D>2$. This result implies that the Kugo-Ojima colorconfinement criterion is not satisfied in its original form. We point out thatthe result crucially depends on the explicit form of the non-local horizon termadopted. The original Gribov prediction in the Landau gauge should bereconsidered in connection with color confinement.

Infrared behavior of the ghost propagator in the Landau gauge Yang-Mills theory