Could electromagnetic corrections solve the vorton excess problem?

The duality between the master function and Lagrangian formalisms for the study of the dynamics of general cosmic strings is reviewed to show their respective uses in various situations. We then consider an explicit model for which the Lagrangian method is untractable whereas the master function provides analytic solutions. From it, the modifications of circular cosmic string loop dynamics due to the electromagnetic self-interaction are then calculated and shown to reduce the available phase space for reaching classical vorton states. As it turns out, this effect might significantly decrease their remnant abundance.