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 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.

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

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Cited by in corpus (10)

• Effective field theories for heavy quarkonium
• Static QCD potential at three-loop order
• Static QCD Potential at r < 1/Lambda_QCD: Perturbative expansion and operator-product expansion
• Perturbative heavy quarkonium spectrum at next-to-next-to-next-to-leading order
• Violation of Casimir Scaling for Static QCD Potential at Three-loop Order
• Full Formula for Heavy Quarkonium Energy Levels at Next-to-next-to-next-to-leading Order
• Strong IR Cancellation in Heavy Quarkonium and Precise Top Mass Determination
• "Coulomb+linear" form of the static QCD potential in operator-product-expansion
• Constraining renormalon effects in lattice determination of heavy quark mass
• Estimate of 4-loop Pole-MSbar Mass Relation from Static QCD Potential