SU(2) Potentials from Large Lattices

Details SU(2) Potentials from Large Lattices SU(2) Potentials from Large Lattices

1992-09-03

arxiv.org/abs/hep-lat/9209007v1

Nucl.Phys.B394:509-526,1993

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/0550-3213(93)90023-I

We measure accurate values of the inter-quark potentials on a $48^{3}56$ lattice with SU(2) pure gauge theory at $ \beta =2.85$. The scale is set by extracting the string tension - we obtain ${\sqrt K}a=0.063(3)$ at $\beta =2.85.$ 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 $\Lambda _{\msbar} = 272(24)$ MeV.

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