Eliminating Electron Self-Repulsion
- Creators
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Sebens, Charles T.
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.
Additional Information
Thank you to Jacob Barandes, Maaneli Derakhshani, Michael Miller, and Logan McCarty for helpful feedback and discussion.Attached Files
Accepted Version - 2206.09472.pdf
Files
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Additional details
- Eprint ID
- 118861
- Resolver ID
- CaltechAUTHORS:20230119-194747912
- Created
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2023-01-20Created from EPrint's datestamp field
- Updated
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2023-07-19Created from EPrint's last_modified field