English

Accurate Scale Determinations for the Wilson Gauge Action

High Energy Physics - Lattice 2009-10-30 v2

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 (5.54β6.05.54 \leq \beta \leq 6.0). Using an improved analysis procedure we determine the string tension and the Sommer scale r0r_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 5.6β6.55.6 \leq \beta \leq 6.5. We estimate the \La\La-parameter of quenched QCD to be \La\MSb=247(16)\La_\MSb = 247(16) MeV.

Keywords

Cite

@article{arxiv.hep-lat/9711003,
  title  = {Accurate Scale Determinations for the Wilson Gauge Action},
  author = {R. G. Edwards and U. M. Heller and T. R. Klassen},
  journal= {arXiv preprint arXiv:hep-lat/9711003},
  year   = {2009}
}

Comments

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

R2 v1 2026-07-22T13:22:20.065Z