论文标题
在QCD中的分析改进的运行耦合上
On the analytically-improved running coupling in QCD
论文作者
论文摘要
我们在QCD中使用QCD中的$ \barα_T（q^2）$的分析运行耦合，使用带正膨胀参数$β_0$和$β_1$的分析性运行$ \barα_t（q^2）$。该因果联耦合得出了一个确切的积分表示形式，该因子耦合以兰伯特函数$ W $的虚构部分的形式完全表达。这种积分形式明显说明了红外极限$ \barα_t（q^2 = 0）=4π/β_0$的通用值。
We examine, in the `t Hooft renormalization scheme, the analytic running coupling $\barα_t(Q^2)$ in QCD, using the two-loop $β$-function with positive expansion parameters $β_0$ and $β_1$. An exact integral representation is derived for this causal coupling, which is fully expressed in terms of the imaginary part of the Lambert function $W$. This integral form manifestly accounts for the universal value of the infrared limit $\barα_t(Q^2=0)= 4 π/β_0$.
