Radiation Reaction and Renormalization for a Photon-Like Charged Particle

摘要

A renormalization scheme which relies on energy-momentum and angularmomentum balance equations is applied to the derivation of effective equation of motionfor a massless point-like charge. Unlike the massive case, the rates of radiated energymomentum and angular momentum tend to infinity whenever the source is accelerated. Theexternal electromagnetic fields which do not change the velocity of the particle admit onlyits presence within the interaction area. The effective equation of motion is the equation oneigenvalues and eigenvectors of the electromagnetic tensor. The massless charges move alongbase line determined by the eigenvectors when the effective equation of motion possesses uniformsolutions. It is interesting that the same solution arises in Rylov’s model of magnetosphere ofa rapidly rotating neutron star (pulsar).