On the SelfEnergy and the Electromagnetic Field of the Electron
Abstract
The charge distribution, the electromagnetic field and the selfenergy of an electron are investigated. It is found that, as a result of Dirac's positron theory, the charge and the magnetic dipole of the electron are extended over a finite region; the contributions of the spin and of the fluctuations of the radiation field to the selfenergy are analyzed, and the reasons that the selfenergy is only logarithmically infinite in positron theory are given. It is proved that the latter result holds to every approximation in an expansion of the selfenergy in powers of e^{2}hc. The selfenergy of charged particles obeying Bose statistics is found to be quadratically divergent. Some evidence is given that the "critical length" of positron theory is as small as h(mc).exp(hce^{2}).
 Publication:

Physical Review
 Pub Date:
 July 1939
 DOI:
 10.1103/PhysRev.56.72
 Bibcode:
 1939PhRv...56...72W