QCD phenomenology of static sources and gluonic excitations at short distances
QCD phenomenology of static sources and gluonic excitations at short distances
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DOI：
10.1103/physrevd.69.094001
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发表时间：
2003-10
影响因子：
5
通讯作者：
G. Bali;A. Pineda
中科院分区：
文献类型：
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作者：
G. Bali;A. Pineda
给出了新的短距离位势和位势的晶格数据。我们将微扰理论与较低的静态杂化势进行了比较，发现在考虑重正子模糊性的情况下，在较短的距离内有很好的一致性。我们在短距离处使用非微扰确定的连续极限静态混合势和基态势来确定胶束能量。这一结果与有限晶格间距的胶团数据的估计值是一致的。对于最轻的胶粘剂来说，我们获得了${\ensuremath{\Lambda}}_{B}^{\mathrm{RS}}({\ensuremath{\nu}}_{f}{=2.5r}_{0}^{\ensuremath{-}1})=[2.25\ifmmode\pm\else\textpm\fi{}0.10(\mathrm{latt}.)\ifmmode\pm\else\textpm\fi{}0.21(\mathrm{th}.)\ifmmode\pm\else\textpm\fi{}0.08({\ensuremath{\Lambda}}_{\overline{\mathrm{MS}}})]{r}_{0}^{\ensuremath{-}1}$在${r}_{0}^{\ensuremath{-}1}\ensuremath{\approx}400\mathrm{MeV}.$的猝灭近似下我们证明，为了引用胶束能绝对值的合理数值，有必要处理Borel平面中单重态和八重态位势的奇点。我们建议减去短距离匹配系数的重整子，在这种情况下是势。对于单线态势，领先的重正子已经已知，并且与极质量的重正子有关；对于八重态，出现了一个新的重正子，我们对其进行了近似估计。我们还将我们的方法应用于静态极限下的重轻介子，并从文献中可用的晶格模拟中得到了猝灭结果${\overline{\ensuremath{\Lambda}}}^{\mathrm{RS}}({\ensuremath{\nu}}_{f}{=2.5r}_{0}^{\ensuremath{-}1})=[1.17\ifmmode\pm\else\textpm\fi{}0.08(\mathrm{latt}.)\ifmmode\pm\else\textpm\fi{}0.13(\mathrm{th}.)\ifmmode\pm\else\textpm\fi{}0.09({\ensuremath{\Lambda}}_{\overline{\mathrm{MS}}})]{r}_{0}^{\ensuremath{-}1}.$我们计算${m}_{b，并将我们的方法应用于胶原菌，其动力学受共轭源之间的单线态势控制。我们可以排除对静态势的非标准线性短程贡献，具有很好的准确性。
New lattice data for the ${\ensuremath{\Pi}}_{u}$ and ${\ensuremath{\Sigma}}_{u}^{\ensuremath{-}}$ potentials at short distances are presented. We compare perturbation theory to the lower static hybrid potentials and find good agreement at short distances, once the renormalon ambiguities are accounted for. We use the nonperturbatively determined continuum-limit static hybrid and ground state potentials at short distances to determine the gluelump energies. The result is consistent with an estimate obtained from the gluelump data at finite lattice spacings. For the lightest gluelump, we obtain ${\ensuremath{\Lambda}}_{B}^{\mathrm{RS}}({\ensuremath{\nu}}_{f}{=2.5r}_{0}^{\ensuremath{-}1})=[2.25\ifmmode\pm\else\textpm\fi{}0.10(\mathrm{latt}.)\ifmmode\pm\else\textpm\fi{}0.21(\mathrm{th}.)\ifmmode\pm\else\textpm\fi{}0.08({\ensuremath{\Lambda}}_{\overline{\mathrm{MS}}})]{r}_{0}^{\ensuremath{-}1}$ in the quenched approximation with ${r}_{0}^{\ensuremath{-}1}\ensuremath{\approx}400\mathrm{MeV}.$ We show that, to quote sensible numbers for the absolute values of the gluelump energies, it is necessary to handle the singularities of the singlet and octet potentials in the Borel plane. We propose to subtract the renormalons of the short-distance matching coefficients, the potentials in this case. For the singlet potential the leading renormalon is already known and related to that of the pole mass; for the octet potential a new renormalon appears, which we approximately evaluate. We also apply our methods to heavy-light mesons in the static limit and from the lattice simulations available in the literature we obtain the quenched result ${\overline{\ensuremath{\Lambda}}}^{\mathrm{RS}}({\ensuremath{\nu}}_{f}{=2.5r}_{0}^{\ensuremath{-}1})=[1.17\ifmmode\pm\else\textpm\fi{}0.08(\mathrm{latt}.)\ifmmode\pm\else\textpm\fi{}0.13(\mathrm{th}.)\ifmmode\pm\else\textpm\fi{}0.09({\ensuremath{\Lambda}}_{\overline{\mathrm{MS}}})]{r}_{0}^{\ensuremath{-}1}.$ We calculate ${m}_{b,\overline{\mathrm{MS}}}{(m}_{b,\overline{\mathrm{MS}}})$ and apply our methods to gluinonia whose dynamics are governed by the singlet potential between adjoint sources. We can exclude nonstandard linear short-distance contributions to the static potentials, with good accuracy.