论文标题
在$ u = 1/2 $和$ 3/2 $的静态QCD潜力的肾元素上
On renormalons of static QCD potential at $u=1/2$ and $3/2$
论文作者
论文摘要
We investigate the $u=1/2$ [$\mathcal{O}(Λ_{\rm QCD})$] and $u=3/2$ [$\mathcal{O}(Λ_{\rm QCD}^3)$] renormalons in the static QCD potential in position space and momentum space using the OPE of the potential-NRQCD effective field theory.这是一个古老的问题，我们提供了一种正式的配方来分析它。特别是我们介绍了$ u = 3/2 $ renormalons的详细检查。我们阐明了$ u = 3/2 $ renormalon是如何与威尔逊系数$ v_a（r）$相关的动量空间潜力抑制的。我们还指出，在多极扩展中同时减去IR肾上腺素和IR差异并不是一件直接的。给出了数值分析，这阐明了我们在扰动系列中的知识的当前状态。该分析给出了从QCD电势中减去最近$α_s（M_z）$确定中使用的肾结龙的方法的积极推理。
We investigate the $u=1/2$ [$\mathcal{O}(Λ_{\rm QCD})$] and $u=3/2$ [$\mathcal{O}(Λ_{\rm QCD}^3)$] renormalons in the static QCD potential in position space and momentum space using the OPE of the potential-NRQCD effective field theory. This is an old problem and we provide a formal formulation to analyze it. In particular we present detailed examinations of the $u=3/2$ renormalons. We clarify how the $u=3/2$ renormalon is suppressed in the momentum-space potential in relation with the Wilson coefficient $V_A(r)$. We also point out that it is not straightforward to subtract the IR renormalon and IR divergences simultaneously in the multipole expansion. Numerical analyses are given, which clarify the current status of our knowledge on the perturbative series. The analysis gives a positive reasoning to the method for subtracting renormalons used in recent $α_s(M_Z)$ determination from the QCD potential.
