Self-Interactions, Self-Energy and the Electromagnetic Contribution to the Anomalous <em>g</em>-Factor

Abstract

The present paper reports an exact approach quantifying the electromagnetic contribution to the anomalous magnetic moment occurring in isolated system comprised of non-composite particle carrying elementary electric charge. Essential averaging procedure and regularization of the electromagnetic field potentials necessary when quantifying the electromagnetic self-interactions and when deriving equations of motion without singularities and obeying the conservation laws are thoroughly discussed. The study shows that the dynamics of the considered system is associated to a unique classical transcendental equations of motion satisfied by the particle&amp;rsquo;s velocity and the electromagnetic contribution to the anomalous g-factor known from the quantum electrodynamics. The equations of motion predict a value of the anomalous g-factor that agrees with the experimentally measured one reported in the literature and that calculated with the aid of quantum electrodynamics. In the present study the computational accuracy is restricted to match one part in a billion, obtaining ae=0.001159652(23), thus reveling the potential of non-perturbative methods in predicting the electron&amp;rsquo;s anomalous g-factor.