Practical problems to compute the ghost propagator in $\mathrm{SU}\left(2\right)\mathrm{}$ lattice gauge theory

In $\mathrm{SU}\left(2\right)\mathrm{}$ lattice pure gauge theory we study numerically the dependence of the ghost propagator $G\left(p\right)\mathrm{}$ on the choice of Gribov copies in the Lorentz (or Landau) gauge. We find that the effect of Gribov copies is essential in the scaling window region; however, it tends to decrease with increasing β. On the other hand, we find that at larger β values very strong fluctuations appear which can make problematic the calculation of the ghost propagator.