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
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比较远距离微扰 QCD 和晶格 QCD 的 QCD 势
DOI：
10.1140/epjc/s2003-01319-9
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
Y. Sumino
中科院分区：
文献类型：
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作者：
S. Recksiegel;Y. Sumino
摘要：我们将微扰计算的 QCD 势与在没有轻夸克味的理论中通过晶格计算获得的势进行了比较。我们通过在 $\overline{\mathrm {MS}}$ 质量 $\overline{m} \equiv 中重新表达 Etot(r) = 2 mpole + VQCD(r) 来检查它m^{\raisebox{-1pt}{$\scriptstyle\overline{\mathrm{MS}}$}}(m^{\raisebox{-1pt}{$\scriptstyle\overline{\mathrm{MS}}$}})$ 并通过选择特定的处方来固定尺度 μ（取决于 r 和 $\overline{m}$）。通过调整$\overline{m}$以最大化收敛范围，我们表明，在阶数$\Lambda_{\mathrm{QCD}}^3 r^2$的不确定性范围内，微扰计算和晶格计算一致达到$3 r_0\simeq 7.5 {\mathrm {GeV}}^{-1}$（r0是索默尺度）。
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 $\overline{\mathrm {MS}}$ 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 $3 r_0\simeq 7.5 {\mathrm {GeV}}^{-1}$ (r0 is the Sommer scale) within the uncertainty of order $\Lambda_{\mathrm{QCD}}^3 r^2$.