Comparing the QCD potential in Perturbative QCD and Lattice QCD at large distances

Details Comparing the QCD potential in Perturbative QCD and Lattice QCD at large distances Comparing the QCD potential in Perturbative QCD and Lattice QCD at large distances

2002-12-30

arxiv.org/abs/hep-ph/0212389v2

Eur.Phys.J. C31 (2003) 187-196

Physics

High Energy Physics

High Energy Physics - Phenomenology

Version to appear in Eur.J.Phys; 16 pages, 7 figures

Scientific paper

10.1140/epjc/s2003-01319-9

We compare the perturbatively calculated QCD potential to that obtained from lattice calculations in the theory without light quark flavours. We examine E_tot(r) = 2 m_pole + V_QCD(r) by re-expressing it in the MSbar mass m = m^MSbar(m^MSbar) 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*r_0 ~ 7.5 GeV^-1 (r_0 is the Sommer scale) within the uncertainty of order Lambda^3 r^2.

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