https://doi.org/10.1140/epjc/s2003-01319-9
theoretical physics
Comparing the QCD potential in perturbative QCD and lattice QCD at large distances
1
Theory Group, KEK, 305-0801, Tsukuba, Ibaraki, Japan
2
Department of Physics, Tohoku University, 980-8578, Sendai, Japan
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 $\overline{\mathrm {MS}}$ mass $\overline{m} \equiv m^{\raisebox{-1pt}{$\scriptstyle\overline{\mathrm{MS}}$}}(m^{\raisebox{-1pt}{$\scriptstyle\overline{\mathrm{MS}}$}})$ and by choosing specific prescriptions for fixing the scale μ (dependent on r and $\overline{m}$). By adjusting $\overline{m}$ so as to maximise the range of convergence, we show that perturbative and lattice calculations agree up to $3 r_0\simeq 7.5 {\mathrm {GeV}}^{-1}$ (r 0 is the Sommer scale) within the uncertainty of order $\Lambda_{\mathrm{QCD}}^3 r^2$.
© Springer-Verlag, 2003
