Comparing the QCD potential in perturbative QCD and lattice QCD at large distances

S. Recksiegel; Y. Sumino

doi:10.1140/epjc/s2003-01319-9

Comparing the QCD potential in perturbative QCD and lattice QCD at large distances

S. Recksiegel, Y. Sumino

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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) = 2m_pole + V_QCD(r) by re-expressing it in the MS mass m ≡ m^MS(m^MS) and by choosing specific prescriptions for fixing the scale μ (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 Λ_QCD³ r².

Original language	English
Pages (from-to)	187-196
Number of pages	10
Journal	European Physical Journal C
Volume	31
Issue number	2
DOIs	https://doi.org/10.1140/epjc/s2003-01319-9
State	Published - Nov 2003
Externally published	Yes

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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) = 2mpole + VQCD(r) by re-expressing it in the MS mass m ≡ mMS(mMS) and by choosing specific prescriptions for fixing the scale μ (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 ΛQCD3 r2.",

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AB - We compare the perturbatively calculated QCD potential to that obtained from lattice calculations in the theory without light quark flavours. We examine Etot(r) = 2mpole + VQCD(r) by re-expressing it in the MS mass m ≡ mMS(mMS) and by choosing specific prescriptions for fixing the scale μ (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 ΛQCD3 r2.

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Comparing the QCD potential in perturbative QCD and lattice QCD at large distances

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