The Renormalization Method in Quantum Electrodynamics

A new technique has been developed for carrying out the renormalization of mass and charge in quantum electrodynamics, which is completely general in that it results not merely in divergence-free solutions for particular problems but in divergence-free equations of motion which are applicable to any...

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Bibliographic Details
Published in:Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences Mathematical and physical sciences, 1951-07, Vol.207 (1090), p.395-401
Main Author: Dyson, Freeman John
Format: Article
Language:English
Subjects:
Equations of motion
Fluids
Homeowners insurance
Mass
Mesons
Quantum electrodynamics
Quantum field theory
Quantum mechanics
S matrix theory
Spacetime
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Summary:A new technique has been developed for carrying out the renormalization of mass and charge in quantum electrodynamics, which is completely general in that it results not merely in divergence-free solutions for particular problems but in divergence-free equations of motion which are applicable to any problem. Instead of using a power-series expansion in the whole radiation interaction, the new method uses expansions in powers of the high-frequency part of the interaction. The convergence of the perturbation theory is thereby much improved. The method promises to be especially useful in applications to meson theory.
ISSN:1364-5021
0080-4630
1471-2946
2053-9169
DOI:10.1098/rspa.1951.0127