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 ${\hat{\nabla }}_{\nu }=$ ${\bar{\nabla }}_{\nu }+\frac{1}{2}{K}_{\nu }$ where ${\bar{\nabla }}_{\nu }$ is the usual tangential gradient operator and $K_{\nu }$ is the extrinsic curvature vector.

10 pages Latex, to appear in Phys. Lett. B

References in corpus (2)

• Mechanics of cosmic rings
• Cold, warm, and composite (cool) cosmic string models

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• Symplectic Structure in Brane Mechanics