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arXiv 0811.2059hep-ph
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鬼胶子运行耦合、功率修正和$Λ_{\bar {\rm MS}}$的测定

Ghost-gluon running coupling, power corrections and the determination of $Λ_{\bar {\rm MS}}$

Ph. Boucaud, F. De Soto, J. P. Leroy, A. Le Yaouanc, J. Micheli, O. Pène, J. Rodríguez-Quintero

摘要:

我们计算了一个包含OPE功率修正的公式来描述通过鬼和胶子修饰函数非微扰定义的QCD耦合的运行。事实证明,这是相当准确的。我们提出了“{ \it plateau}”-过程来从运行耦合常数的晶格计算计算$Λ_{\bar{\rm MS}}$。我们表现出很好的协议之间的不同方法已被用来估计$Λ_{\bar{\rm MS}}^{N_f=0}$。我们认为,可以使用$Λ_{\bar{\rm MS}}$或用不同晶格间距计算的强耦合常数来估计晶格间距比。

英文摘要:

We compute a formula including OPE power corrections to describe the running of a QCD coupling non-perturbatively defined through the ghost and gluon dressing functions. This turns out to be rather accurate. We propose the ``{\it plateau}''-procedure to compute $Λ_{\bar{\rm MS}}$ from the lattice computation of the running coupling constant. We show a good agreement between the different methods which have been used to estimate $Λ_{\bar{\rm MS}}^{N_f=0}$. We argue that $Λ_{\bar{\rm MS}}$ or the strong coupling constant computed with different lattice spacings may be used to estimate the lattice spacing ratio.

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