Electromagnetic self interaction in strings

Abstract

To facilitate the treatment of electromagnetic effects in applications such as dynamically perturbed vortons, this work employs a covariantly formulated string-source Green measure to obtain a coherent relativistic scheme for describing the self interaction of electromagnetic currents in string models of a very general kind, at leading order in the relevant field gradients, using a regularised gradient operator given by $\hat\nabla_\nu=$ $\bar\nabla_\nu +{1\over 2} K_\nu$ where $\bar\nabla_\nu$ is the usual tangential gradient operator and $K_\nu$ is the extrinsic curvature vector.