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We present new results on the static qq potential from high-statistics simulations on 32^4 and smaller lattices, using the standard Wilson action at =6. 0, 6. 4, and 6. 8 on the Connection Machine CM-2. Within our statistical errors (1%) we do not observe any finite-size effects affecting the potential values, on varying the spatial lattice extent from 0. 9 fm up to 3. 3 fm. We are able to see and quantify the running of the coupling from the Coulomb behavior of the interquark force. From this we extract the ratio {}{₋}. 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 ₋ to its continuum value. Both methods yield consistent values for: -₌ₒ=0. 555-₀. ₀₁₇^+0. 019=244-₇^+8 MeV, where -MS denotes the modified minimal subtraction scheme. At the highest-energy scale attainable to us we find (5 GeV) =0. 150 (3).
Bali et al. (Fri,) studied this question.