含费米子的杨-米尔斯理论的五圈β函数
The five-loop beta function of Yang-Mills theory with fermions
摘要：
我们计算了量子色动力学（QCD）、它对具有简单紧李群的非阿贝尔规范理论的推广以及量子电动力学（QED）的重正化耦合常数的标度依赖性的五圈修正。我们的分析结果，得到使用背景场方法，红外重排通过一个新的逐图实现的R* 操作和Forcer程序的无质量四圈传播子，确认QCD和QED结果只得到了一组之前。本文简要地讨论了具有n_f味QCD和纯SU（N）Yang-Mills理论的标准MSbar格式中五圈修正的数值大小。它们在QCD中的作用比四圈贡献小得多，即使在相当低的尺度下也是如此。
英文摘要：
We have computed the five-loop corrections to the scale dependence of the renormalized coupling constant for Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge theories with a simple compact Lie group, and for Quantum Electrodynamics (QED). Our analytical result, obtained using the background field method, infrared rearrangement via a new diagram-by-diagram implementation of the R* operation and the Forcer program for massless four-loop propagators, confirms the QCD and QED results obtained by only one group before. The numerical size of the five-loop corrections is briefly discussed in the standard MSbar scheme for QCD with n_f flavours and for pure SU(N) Yang-Mills theory. Their effect in QCD is much smaller than the four-loop contributions, even at rather low scales.
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