We present a numerical study for different discretisations of the static action, concerning cut-off effects and the growth of statistical errors with Euclidean time. An error reduction by an order of magnitude can be obtained with respect to the Eichten-Hill action, for time separations beyond 1.3 fm, keeping discretization errors small. The best actions lead to a big improvement on the precision of the quark mass Mb and F_Bs in the static approximation.
Cite
@article{arxiv.hep-lat/0309080,
title = {Static quarks with improved statistical precision},
author = {M. Della Morte and S. Durr and J. Heitger and H. Molke and J. Rolf and A. Shindler and R. Sommer},
journal= {arXiv preprint arXiv:hep-lat/0309080},
year = {2011}
}