库仑规范中自由电子自能的维数正则化和顶点修正
Dimensional regularization of the free-electron self-energy and vertex correction in Coulomb gauge
摘要：
目前，人们对研究在大型粒子加速器（如达姆施塔特的GSI）中产生的高电荷离子的静态和动态特性非常感兴趣。要进行相应的理论计算，具有很高的精度，需要一个高度发达的机器的计算方法，直到最近才可用。为了将多体微扰理论与量子电动力学结合起来，计算通常必须在库仑规范中进行，而库仑规范的应用还没有像费曼规范那样发展。Adkins在没有推导的情况下给出了自由电子自能和顶点校正的公式（Phys.Rev.D27，1814（1983）; Phys.Rev.D34，2489（1986））。本文对Adkins公式进行了详细的推导和验证。
英文摘要：
There is presently a great interest in studying static and dynamic properties of highly charged ions that can be produced in large particle accelerators, like that at GSI in Darmstadt. To perform corresponding theoretical calculations with great accuracy requires a highly developed machinery of computational methods that have not until recently been available. In order to combine many-body perturbation theory with quantum electrodynamics, the calculations have generally to be performed in the Coulomb gauge, where applications have not been so developed as in, for instance, the Feynman gauge. Formulas for the free-electron self energy and vertex correction have been given without derivation by Adkins (Phys. Rev. D27, 1814 (1983); Phys. Rev. D34, 2489 (1986)). In the present paper the formulas of Adkins are verified with detailed derivations.
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