Eliminating Electron Self-Repulsion

• URL: http://arxiv.org/abs/2206.09472v2
• Date: Thu, 4 May 2023 18:03:03 GMT
• Title: Eliminating Electron Self-Repulsion
• Authors: Charles T. Sebens
• Abstract summary: Problems of self-interaction arise in both classical and quantum field theories. Self-repulsion can be eliminated from quantum electrodynamics by fully normal-ordering the Coulomb term in the Hamiltonian.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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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