A Relativistic CutOff for Classical Electrodynamics
Abstract
Ordinarily it is assumed that interaction between charges occurs along light cones, that is, only where the fourdimensional interval s^{2}=t^{2}r^{2} 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 s^{2} 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.
 Publication:

Physical Review
 Pub Date:
 October 1948
 DOI:
 10.1103/PhysRev.74.939
 Bibcode:
 1948PhRv...74..939F