论文标题

消除电子自我抑制

Eliminating Electron Self-Repulsion

论文作者

Sebens, Charles T.

论文摘要

在古典和量子场理论中都出现了自我交流问题。为了了解在狄拉克和电磁场(量子电动力学)的量子理论中如何解决这些问题,我们可以首先分析这些领域的经典理论。在这样的经典田地理论中,电子具有电荷分布,可以避免某些面向点电荷模型的自我交互问题。但是,仍然存在一个问题,即电子会经历自我抑制。在经典场理论中不能消除这种自我抑制,而不会在不同的颗粒之间失去库仑相互作用。但是,可以通过完全正常地订购哈密顿量的库仑术语,从库仑量表中的量子电动力学中消除电子自我抑制。正常订购后,库仑术语包含描述不同颗粒之间的吸引力和排斥的作品,还描述了描述颗粒创造和an灭的碎片,但没有描述自我抑制的碎片。

Problems of self-interaction arise in both classical and quantum field theories. To understand how such problems are to be addressed in a quantum theory of the Dirac and electromagnetic fields (quantum electrodynamics), we can start by analyzing a classical theory of these fields. In such a classical field theory, the electron has a spread-out distribution of charge that avoids some of the problems of self-interaction facing point charge models. However, there remains the problem that the electron will experience self-repulsion. This self-repulsion cannot be eliminated within classical field theory without also losing Coulomb interactions between distinct particles. But, electron self-repulsion can be eliminated from quantum electrodynamics in the Coulomb gauge by fully normal-ordering the Coulomb term in the Hamiltonian. After normal-ordering, the Coulomb term contains pieces describing attraction and repulsion between distinct particles and also pieces describing particle creation and annihilation, but no pieces describing self-repulsion.

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