论文标题
量子电动力学中电子的质量规则
Mass sum rules of the electron in quantum electrodynamics
论文作者
论文摘要
在文献中已经提出了核子质量的不同分解，就基本成分的质量和能量而言。我们在扰动理论中以一环的量子顺序探索电子量子电动力学中的相应总和规则。为此，我们通过特别注意紫外线差异，操作员混合和方案依赖性的重新归一化来计算能量量张量的形式。我们阐明了电子休息框架中所有提议的总规则的表达方式，以重新归一化的操作员为角度。此外，我们在移动框架中考虑相同的总和规则，它们成为能量分解。最后，我们讨论了我们的研究对核子的质量总和规则的一些含义。
Different decompositions of the nucleon mass, in terms of the masses and energies of the underlying constituents, have been proposed in the literature. We explore the corresponding sum rules in quantum electrodynamics for an electron at one-loop order in perturbation theory. To this end we compute the form factors of the energy-momentum tensor, by paying particular attention to the renormalization of ultraviolet divergences, operator mixing and scheme dependence. We clarify the expressions of all the proposed sum rules in the electron rest frame in terms of renormalized operators. Furthermore, we consider the same sum rules in a moving frame, where they become energy decompositions. Finally, we discuss some implications of our study on the mass sum rules for the nucleon.
