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arXiv 2009.01285hep-phhep-lathep-th
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元格的超渐近近似和胶子凝聚的确定

Hyperasymptotic approximation to the plaquette and determination of the gluon condensate

Cesar Ayala, Xabier Lobregat, Antonio Pineda

摘要:

我们给出了元格的超渐近展开的精度,其中包括与领导renormalon终止。还考虑了次级效应。利用Borel积分的主值公式对扰动级数进行了调节。我们利用这种分析给出了SU(3)纯胶子动力学中胶子凝聚的确定,它与耦合常数$\langle G^2 \rangle_{\rm PV} (n_f=0)=3.15(18)\; r_0^{-4}$的标度和重整化方案无关。

英文摘要:

We give the hyperasymptotic expansion of the plaquette with a precision that includes the terminant associated to the leading renormalon. Subleading effects are also considered. The perturbative series is regulated using the principal value prescription for its Borel integral. We use this analysis to give a determination of the gluon condensate in SU(3) pure gluodynamics that is independent of the scale and renormalization scheme used for the coupling constant: $\langle G^2 \rangle_{\rm PV} (n_f=0)=3.15(18)\; r_0^{-4}$.

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