Radiation reaction and renormalization for a photon-like charged particle

摘要

A renormalization scheme which relies on energy-momentum and angular momentumbalance equations is applied to the derivation of effective equation of motionfor a massless point-like charge. Unlike the massive case, the rates ofradiated energy-momentum and angular momentum tend to infinity whenever thesource is accelerated. The external electromagnetic fields which do not changethe velocity of the particle admit only its presence within the interactionarea. The effective equation of motion is the equation on eigenvalues andeigenvectors of the electromagnetic tensor. The massless charges move alongbase line determined by the eigenvectors when the effective equation of motionpossesses uniform solutions. It is interesting that the same solution arises inRylov's model of magnetosphere of a rapidly rotating neutron star (pulsar).