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Angular momentum of the electron: One-loop studies
Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-05-06 , DOI: 10.1016/j.nuclphysb.2020.115042
Bogdan Damski

We combine bare perturbation theory with the imaginary time evolution technique to study one-loop radiative corrections to various components of angular momentum of the electron. Our investigations are based on the canonical decomposition of angular momentum, where spin and orbital components, associated with fermionic and electromagnetic degrees of freedom, are individually approached. We use for this purpose quantum electrodynamics in the general covariant gauge and develop a formalism, based on the repeated use of the Sochocki-Plemelj formula, for proper enforcement of the imaginary time limit. It is then shown that careful implementation of imaginary time evolutions is crucial for getting a correct result for total angular momentum of the electron in the bare perturbative expansion. We also analyze applicability of the Pauli-Villars regularization to our problem, developing a variant of this technique based on modifications of studied observables by subtraction of their ghost operator counterparts. It is then shown that such an approach leads to the consistent regularization of all angular momenta that we compute.



中文翻译:

电子角动量:一回路研究

我们将裸摄动理论与虚拟时间演化技术相结合,以研究对电子角动量各个分量的单环辐射校正。我们的研究基于角动量的规范分解,其中分别涉及与铁电和电磁自由度相关的自旋和轨道分量。为此,我们在一般协变量规中使用了量子电动力学,并在反复使用Sochocki-Plemelj公式的基础上发展了形式主义,以正确实施假想的时限。然后表明,精心实现虚拟时间演化对于在裸露的微扰展开中获得电子总角动量的正确结果至关重要。我们还分析了Pauli-Villars正则化对我们的问题的适用性,并通过减去其鬼运算符的对应项,对所研究的可观测值进行了修改,从而开发了该技术的一种变体。然后表明,这种方法导致我们计算的所有角矩的一致性正则化。

更新日期:2020-05-06
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