A direct calculation demonstrates that the causal Green function for classical equations of an electromagnetic field contains an additional singular term cancelling the divergence in the self-action of a point charge. Thus, the problem of mass renormalization is avoided. An exact relativistic expression for the self-action force is presented as a sum of two terms. The first one gives the radiation damping and the second one describes the electromagnetic component of the particle momentum depending on its velocity and acceleration. Accordingly, the work of the force also consists of two terms: the radiation energy and the electromagnetic component of the particle energy. To perform the calculations, we have to extend the radial spherical coordinate in the δ-function argument to negative values. © 1996 Plenum Publishing Corporation.

Authors

Gordeyev A.N.
^{1}

Number of issue

2

Language

English

Pages

1396-1406

Status

Published

Link

Volume

105

Year

1995

Organizations

^{1}Russian University of Peoples' Friendship, Russia

Date of creation

19.10.2018

Date of change

19.10.2018