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

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

2007-05-02

arxiv.org/abs/0705.0383v1

Int.J.Mod.Phys.A23:803-812,2008

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 3 figures, 3 tables

Scientific paper

10.1142/S0217751X0803958X

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

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