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A relativistic cut-off for classical electrodynamics

Feynman, R. P. (1948) A relativistic cut-off for classical electrodynamics. Physical Review, 74 (8). pp. 939-946. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:FEYpr48a

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Abstract

Ordinarily it is assumed that interaction between charges occurs along light cones, that is, only where the four-dimensional interval s2=t2-r2 is exactly zero. We discuss the modifications produced if, as in the theory of F. Bopp, substantial interaction is assumed to occur over a narrow range of s2 around zero. This has no practical effect on the interaction of charges which are distant from one another by several electron radii. The action of a charge on itself is finite and behaves as electromagnetic mass for accelerations which are not excessive. There also results a classical representation of the phenomena of pair production in sufficiently strong fields.


Item Type:Article
Additional Information:©1948 The American Physical Society. Received 8 June 1948. I should like to thank Professor J. A. Wheeler for inoculating me with many ideas without which this work would not have been done.
Record Number:CaltechAUTHORS:FEYpr48a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:FEYpr48a
Alternative URL:http://dx.doi.org/10.1103/PhysRev.74.939
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3516
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:12 Jun 2006
Last Modified:26 Dec 2012 08:54

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