Accurate Scale Determinations for the Wilson Gauge Action

Details Accurate Scale Determinations for the Wilson Gauge Action Accurate Scale Determinations for the Wilson Gauge Action

1997-11-05

arxiv.org/abs/hep-lat/9711003v2

Nucl.Phys. B517 (1998) 377-392

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, LaTeX, 5 ps files (corrected typo in table 5, updated references)

Scientific paper

10.1016/S0550-3213(98)80003-5

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 ($5.54 \leq \beta \leq 6.0$). Using an improved analysis procedure we determine the string tension and the Sommer scale $r_0$ (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 $5.6 \leq \beta \leq 6.5$. We estimate the $\La$-parameter of quenched QCD to be $\La_\MSb = 247(16)$ MeV.

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