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We study the computation of the static quark potential under decimations inthe Monte Carlo Renormalization Group (MCRG). Employing a multi-representationplaquette action, we find that fine-tuning the decimation prescription so thatthe MCRG equilibrium self-consistency condition is satisfied produces dramaticimprovement at large distances. In particular, lattice coarsening (change ofeffective lattice spacing on action-generated lattices after decimation) isnearly eliminated. Failure to correctly tune the decimation, on the other hand,produces large coarsening effects, of order 50% or more, consistent with thoseseen in previous studies. We also study rotational invariance restoration atshort distances, where no particular improvement is seen for this action.

String tension and removal of lattice coarsening effects in Monte Carlo Renormalization Group