Accurate Scale Determinations for the Wilson Gauge Action
R. G. Edwards, U. M. Heller, T. R. Klassen
Abstract
Accurate determinations of the physical scale of a lattice action are required to check scaling and take the continuum limit. We present a high statistics study of the static potential for the SU(3) Wilson gauge action on coarse lattices (5.54 ≤ β≤ 6.0). Using an improved analysis procedure we determine the string tension and the Sommer scale r0 (and related quantities) to 1% accuracy, including all systematic errors. Combining our results with earlier ones on finer lattices, we present parameterizations of these quantities that should be accurate to about 1% for 5.6 ≤ β≤ 6.5. We estimate the -parameter of quenched QCD to be = 247(16) MeV.
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