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SU(2) Potentials from Large Lattices

arXiv:hep-lat/9209007 · doi:10.1016/0550-3213(93)90023-I

Abstract

We measure accurate values of the inter-quark potentials on a $48^{3}56$ lattice with SU(2) pure gauge theory at $ β=2.85$. The scale is set by extracting the string tension - we obtain ${\sqrt K}a=0.063(3)$ at $β=2.85.$ From a careful study of the small-$R$ potentials in the region 2 GeV $< R^{-1} < 5$ GeV, we extract a running coupling constant and estimate the scale $Λ_{\msbar} = 272(24)$ MeV.

22 pages, 4 PostScript figures (attached), Liverpool preprint LTH 284