Comparing the QCD potential in Perturbative QCD and Lattice QCD at large distances
Abstract
We compare the perturbatively calculated QCD potential to that obtained from lattice calculations in the theory without light quark flavours. We examine Etot(r) = 2 mpole + VQCD(r) by re-expressing it in the MSbar mass m = mMSbar(mMSbar) and by choosing specific prescriptions for fixing the scale mu (dependent on r and m). By adjusting m so as to maximise the range of convergence, we show that perturbative and lattice calculations agree up to 3*r0 ~ 7.5 GeV-1 (r0 is the Sommer scale) within the uncertainty of order Lambda3 r2.
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