Article

# Precise determination of the lattice spacing in full lattice QCD

10/2009; DOI:doi:10.1103/PhysRevD.81.034506
Source: arXiv

ABSTRACT We compare three different methods to determine the lattice spacing in lattice QCD and give results from calculations on the MILC ensembles of configurations that include the effect of $u$, $d$ and $s$ sea quarks. It is useful, for ensemble to ensemble comparison, to express the results as giving a physical value for $r_1$, a parameter from the heavy quark potential. Combining the three methods gives a value for $r_1$ in the continuum limit of 0.3133(23)(3) fm. Using the MILC values for $r_0/r_1$, this corresponds to a value for the $r_0$ parameter of 0.4661(38) fm. We also discuss how to use the $\eta_s$ for determining the lattice spacing and tuning the $s$-quark mass accurately, by giving values for $m_{\eta_s}$ (0.6858(40) GeV) and $f_{\eta_s}$ (0.1815(10) GeV). Comment: 15 pages

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### Keywords

$s$ sea quarks

$s$-quark mass

configurations

different methods

heavy quark potential

lattice spacing

MILC values

physical value

three methods

values