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arXiv 2004.03704hep-phhep-latnucl-th
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量子电动力学中电子的质量和规则

Mass sum rules of the electron in quantum electrodynamics

S. Rodini, A. Metz, B. Pasquini

摘要:

核子质量的不同分解,在基本成分的质量和能量方面,已经在文献中提出。本文在微扰论中探讨了单圈级电子在量子电动力学中相应的求和规则。为此,我们计算的能量-动量张量的形状因子,特别注意的紫外发散,操作员混合和方案的依赖重整化。我们澄清了所有建议的求和规则的表达式,在电子静止框架的重整化运营商。此外,我们考虑相同的求和规则在一个移动的框架,在那里他们成为能量分解。最后,我们讨论了我们的研究的核子质量和规则的一些含义。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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