Quantum electrodynamics calculation of lepton anomalous magnetic moments: Numerical approach to the perturbation theory of QED
Quantum electrodynamics calculation of lepton anomalous magnetic moments: Numerical approach to the perturbation theory of QED
复制标题
轻子反常磁矩的量子电动力学计算：QED 微扰理论的数值方法
DOI：
10.1093/ptep/pts030
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发表时间：
2012
影响因子：
3.5
通讯作者：
T.Kinoshita and M.Nio
中科院分区：
文献类型：
--
作者：
T.Aoyama;M.Hayakawa;T.Kinoshita and M.Nio
在这篇综述中，我们总结了近十年来在量子电动力学微扰理论中完全确定轻子反常磁矩的10阶贡献方面所进行的数值计算工作的结果。我们的方法是基于重组重整化方法，其中没有发散量出现明确的任何部分的计算，这是至关重要的数值积分的可行性。大量的10阶图和重正化过程的复杂性是这样的，如果没有自动代码生成算法的开发，我们就无法处理这个问题。系统的方法来解决这些问题的一些细节。
In this review, we summarize the results of our numerical work carried out over nearly ten years on the complete determination of the 10th-order contribution to the anomalous magnetic moments of leptons in the perturbation theory of quantum electrodynamics. Our approach is based on a reorganized renormalization method in which no divergent quantities appear explicitly in any part of the calculation, which is crucial for the feasibility of numerical integration. The enormous number of 10th-order diagrams and the complexity of the renormalization procedure are such that we could not have handled this problem without the development of an automated code-generating algorithm. The systematic approach to these problems is described in some detail.