论文标题
通过共形异常的功率，RG不变量的rg不变量代表
Representation of the RG-invariant quantities in perturbative QCD through powers of the conformal anomaly
论文作者
论文摘要
在这项工作中，我们考虑了代表QCD中重新归一化群不变量的扰动序列的可能性，其形式是其分解形式，以$ {\ rm {\ rm {\ rm {\ rm {\ repline {ms {ms {ms {ms {ms {ms {ms {ms} $ schement of Compangal Anomaly $β（α_s）/α_s$的能力。我们提醒我们，对于$ e^+e^ - $ nihilation的Adler功能，可以扩展到Hadrons中的$ E^+E^ - $ Enihihilation和Bjorken偏振型总规则的系数函数，而深度弹性电子核电散射均与Crewther-broadhurst-Kataev关系相关。此外，我们研究了静态夸克式库仑库仑样潜力的讨论分解，它与尖尖异常尺寸定义的数量的关系以及Bjorken Bjorken未偏中微子核子散射规则的系数函数。总而言之，我们还提出了将这种方法应用于极点与$ {\ rm {\ rm {\ rm {\ RM {\ rm {ms}}} $之间的非命级不变比率的形式结果 - 方案在QCD中运行了大量的QCD质量，并将它们与文献中已经知道的那些相比。讨论了所有提及的扰动量的$β（α_s）/α_s$中所考虑的表示的有效性的论点。
In this work we consider the possibility of representing the perturbative series for renormalization group invariant quantities in QCD in the form of their decomposition in powers of the conformal anomaly $β(α_s)/α_s$ in the ${\rm{\overline{MS}}}$-scheme. We remind that such expansion is possible for the Adler function of the process of $e^+e^-$ annihilation into hadrons and the coefficient function of the Bjorken polarized sum rule for the deep-inelastic electron-nucleon scattering, which are both related by the Crewther-Broadhurst-Kataev relation. In addition, we study the discussed decomposition for the static quark-antiquark Coulomb-like potential, its relation with the quantity defined by the cusp anomalous dimension and the coefficient function of the Bjorken unpolarized sum rule of neutrino-nucleon scattering. In conclusion we also present the formal results of applying this approach to the non-renormalization invariant ratio between the pole and ${\rm{\overline{MS}}}$-scheme running mass of heavy quark in QCD and compare them with those already known in the literature. The arguments in favor of the validity of the considered representation in powers of $β(α_s)/α_s$ for all mentioned perturbative quantities are discussed.
