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Divergence of Perturbation Theory in Quantum Electrodynamics
Abstract
An argument is presented which leads tentatively to the conclusion that all the power-series expansions currently in use in quantum electrodynamics are divergent after the renormalization of mass and charge. The divergence in no way restricts the accuracy of practical calculations that can be made with the theory, but raises important questions of principle concerning the nature of the physical concepts upon which the theory is built.
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Citations
Cited by
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Bender, C. M. (2007) · Reports on Progress in Physics · doi:10.1088/0034-4885/70/6/r03 · Cited by 2,984
On the phase transition towards permanent quark confinement
't Hooft, G. (1978) · Nuclear Physics B · doi:10.1016/0550-3213(78)90153-0 · Cited by 1,540
Feynman diagrams versus Fermi-gas Feynman emulator
Van Houcke, K., Werner, F., Kozik, E., Prokof’ev, N., Svistunov, B., Ku, M. J. H., Sommer, A. T., Cheuk, L. W., Schirotzek, A., & Zwierlein, M. W. (2012) · Nature Physics · doi:10.1038/nphys2273 · Cited by 220
Nonperturbative summation over 3D discrete topologies
Freidel, L., & Louapre, D. (2003) · Physical Review D · doi:10.1103/physrevd.68.104004 · Cited by 80
Perturbation theory for metastable states of the Dirac equation with quadratic vector interaction
Giachetti, R., & Grecchi, V. (2009) · Physical Review A · doi:10.1103/physreva.80.032107 · Cited by 7
Metadata
- Authors
- Dyson, F. J.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1952-02-15
- Volume
- 85
- Issue
- 4
- Pages
- 631-632
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W3142659438
- Cited by
- 1,015
- References
- 0
- FWCI
- 10.13
- Type
- journal article
- Language
- en
- Open access
- closed
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- Dyson, F. J. (1952). Divergence of Perturbation Theory in Quantum Electrodynamics. Physical Review. https://doi.org/10.1103/physrev.85.631
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
