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Relativistic cut-off for quantum electrodynamics

Feynman, Richard P. (1948) Relativistic cut-off for quantum electrodynamics. Physical Review, 74 (10). pp. 1430-1438. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:FEYpr48b

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Abstract

A relativistic cut-off of high frequency quanta, similar to that suggested by Bopp, is shown to produce a finite invariant self-energy for a free electron. The electromagnetic line shift for a bound electron comes out as given by Bethe and Weissk opf's wave packet prescription. The scattering of an electron in a potential, without radiation, is discussed. The cross section remains finite. The problem of polarization of the vacuum is not solved. Otherwise, the results will in general agree essentially with those calculated by the prescription of Schwinger. An alternative cut-off procedure analogous to one proposed by Wataghin, which eliminates high frequency intermediate states, is shown to do the same things but to offer to solve vacuum polarization problems as well.


Item Type:Article
Additional Information:©1948 The American Physical Society. Received 12 July 1948. The author would like to express his gratitude to Mr. P. V. C. Hough for assistance in the calculations and to Professor H. A. Bethe and Dr. F. Dyson and many others for useful discussions.
Record Number:CaltechAUTHORS:FEYpr48b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:FEYpr48b
Alternative URL:http://dx.doi.org/10.1103/PhysRev.74.1430
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3517
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:12 Jun 2006
Last Modified:26 Dec 2012 08:54

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