论文标题
QCD静态能量使用最佳的重归于和渐近帕迪 - 帕特帕托及其方法
The QCD Static Energy using Optimal Renormalization and Asymptotic Padé-approximant Methods
论文作者
论文摘要
几位作者分别计算为三环和四循环订单，分别计算出静态能量的扰动QCD静态势和Ultrasoft贡献。使用重新归一化组和Padé近似值，我们将四环校正估计为静态能量。我们还采用了最佳的重归化方法，并恢复扰动系列的对数，以降低动量空间中对重变量表的敏感性。这是该方法在这些订单下结果的第一个应用。使用受限制的傅立叶变换方案在位置空间中也改善了扰动系列的收敛行为。使用最佳的重归化，我们以不同的比例提取了$λ^{\ textrm {\ textrm {\ textrm {\ textrm {\ textrm {\ textrm {\ textrm {\ textrm {\ textrm {\ textrm {qcd}} $，以与lattice QCD模拟中的静态能量相匹配，以匹配两个活性口味。
The perturbative QCD static potential and ultrasoft contributions, which together give the static energy, have been calculated to three- and four-loop order respectively, by several authors. Using the renormalization group, and Padé approximants, we estimate the four-loop corrections to the static energy. We also employ the optimal renormalization method and resum the logarithms of the perturbative series in order to reduce sensitivity to the renormalization scale in momentum space. This is the first application of the method to results at these orders. The convergence behaviour of the perturbative series is also improved in position space using the Restricted Fourier Transform scheme. Using optimal renormalization, we have extracted the value of $Λ^{\overline{\textrm{MS}}}_{\textrm{QCD}}$ at different scales for two active flavours by matching to the static energy from lattice QCD simulations.
