Perturbative expansion of the plaquette to ${\cal O}(α^{35})$ in four-dimensional SU(3) gauge theory
Perturbative expansion of the plaquette to ${\cal O}(α^{35})$ in four-dimensional SU(3) gauge theory
复制标题
四维 SU(3) 规范理论中斑块的微扰展开为 ${cal O}(α^{35})$
DOI：
10.1103/physrevd.89.054505
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发表时间：
2014
影响因子：
5
通讯作者：
A. Pineda
中科院分区：
文献类型：
--
作者：
G. Bali;C. Bauer;A. Pineda
利用数值随机微扰理论，我们确定了SU(3)流体动力学中斑块的强耦合常数α的乘幂微扰展开的前35个无限体积系数。这些系数是用标准的威尔逊规范作用量在晶格正则化中得到的。可以清楚地观察到与胶子凝聚相关的四维重正子的支配地位的开始。我们确定了Borel平面上相应奇点的归一化，并将其转化为$OVERLINE{\mathm{MS}}$格式。我们还评论了重整子对胶子凝聚态的非微扰测定的影响。
Using numerical stochastic perturbation theory, we determine the first 35 infinite volume coefficients of the perturbative expansion in powers of the strong-coupling constant $\ensuremath{\alpha}$ of the plaquette in SU(3) gluodynamics. These coefficients are obtained in lattice regularization with the standard Wilson gauge action. The onset of the dominance of the dimension-four renormalon associated to the gluon condensate is clearly observed. We determine the normalization of the corresponding singularity in the Borel plane and convert this into the $\overline{\mathrm{MS}}$ scheme. We also comment on the impact of the renormalon on nonperturbative determinations of the gluon condensate.