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arXiv · 0705.0383

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

E. T. Tomboulis·A. Velytsky
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Abstract

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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E. T. Tomboulis, A. Velytsky. 2007-05-02. String tension and removal of lattice coarsening effects in Monte Carlo Renormalization Group. https://doi.org/10.1142/s0217751x0803958x

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