Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1992-08-27
Phys.Rev. D47 (1993) 661-672
Physics
High Energy Physics
High Energy Physics - Lattice
19 pages (LaTex), +6 pages with figures (Postscript, 432K), WUB 92--29
Scientific paper
10.1103/PhysRevD.47.661
We present new results on the static qq-potential from high statistics simulations on 32^4 and smaller lattices, using the standard Wilson beta = 6.0, 6.4, and 6.8. Within our statistical errors we do not observe any finite size effects affecting the potential values, on varying the spatial lattice extent from 0.9fm up to 3.3fm. We are able to see and quantify the running of the coupling from the Coulomb behaviour of the interquark force. From this we extract the ratio \sqrt{sigma}/Lambda_L. We demonstrate that scaling violations on the string tension can be considerably reduced by introducing effective coupling schemes, which allow for a safe extrapolation of \Lambda_L to its continuum value. Both methods yield consistent values for Lambda: Lambda_MSbar = 0.558_{-0.007}^{+0.017}\sqrt{sigma} = 246_{-3}^{+7}MeV. At the highest energy scale attainable to us we find alpha(5 GeV) = 0.150(3)
Bali Gunnar S.
Schilling Klaus
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