标题： 量子色动力学中的共度尺度关系 显示英文标题

标题： Commensurate Scale Relations in Quantum Chromodynamics

摘要： 我们使用BLM方法表明，在QCD中可微扰计算的可观测量可以相互关联，而不会产生重整化尺度或方案的歧义。我们定义并研究了协调尺度关系。我们证明协调尺度满足重整化群传递性规则，这确保了PQCD的预测与中间重整化方案的选择无关。我们将BLM过程推广到更高阶。将此过程应用于QCD中已知的物理可观测量，得到了令人惊讶的简单结果。特别是，湮灭比$R_{e^+e^-}$和极化电子散射的Bjorken求和规则通过简单的系数相关联，这加强了这两个可观测量之间存在隐藏对称性的观点。 显示英文摘要

摘要： We use the BLM method to show that perturbatively-calculable observables in QCD can be related to each other without renormalization scale or scheme ambiguity. We define and study the commensurate scale relations. We show that the commensurate scales satisfy the renormalization group transitivity rule which ensures that predictions in PQCD are independent of the choice of an intermediate renormalization scheme. We generalize the BLM procedure to higher order. The application of this procedure to relate known physical observables in QCD gives surprisingly simple results. In particular, the annihilation ratio $R_{e^+e^-}$ and the Bjorken sum rule for polarized electroproduction are related through simple coefficients, which reinforces the idea of a hidden symmetry between these two observables.