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 $\hat\nabla_ν=$ $\bar\nabla_ν+{1\over 2} K_ν$ where $\bar\nabla_ν$ is the usual tangential gradient operator and $K_ν$ is the extrinsic curvature vector.