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

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.

arXiv comment10 pages, 3 figures, 3 tables

References in corpus (7)

• Renormalization group flow of SU(3) lattice gauge theory - Numerical studies in a two coupling space
• Canonical Demon Monte Carlo Renormalization Group
• Renormalization Group Therapy
• Improving the improved action
• Towards a perfect fixed point action for SU(3) gauge theory
• Truncation Effects in Monte Carlo Renormalization Group Improved Lattice Actions
• RG decimation study of SU(2) gauge theory

Cited by in corpus (4)

• Equilibrium criterion and effective spin models for finite temperature gauge theories
• Improved actions and lattice coarsening effects in MCRG studies in SU(2) LGT
• Critical couplings and string tensions via lattice matching of RG decimations
• Fermion RG blocking transformations and IR structure