Dilatonic formulation for conducting cosmic string models

Abstract

It is shown how the the introduction of a suitably defined dilatonic auxiliary field, $\Phi$ say, makes it possible for the non-linear Lagrangian for a generic elastic string model, of the kind appropriate for representing superconducting cosmic strings, to be converted into a standardised form as the sum of a kinetic term that is just homogeneously quadratic in the relevant scalar phase gradient (as in a simple linear model) together with a potential energy term, $V$ say, that is specified as a generically non-linear function of $\Phi$. The explicit form of this function is derived for various noteworthy examples, of which the most memorable is that of the transonic string model, as characterised by a given mass scale, $m$ say, for which this potential energy density will be expressible in terms of the zero current limit value ${\Phi }_{{}_0}$ of $\Phi$ by $V=\frac{1}{2}m({\Phi }_{{}_0}^{-2}{\Phi }^2+{\Phi }_{{}_0}^2{\Phi }^{-2})$.

15 pages Latex. Invited contrib. to JR99 (Weimar), to be published in Annalen der Physik (Leipzig)

References in corpus (2)

• Dynamics and integrability property of the chiral string model
• Cold, warm, and composite (cool) cosmic string models

Cited by in corpus (6)

• Emission of gravitational waves by superconducting cosmic strings
• Thermal Stabilisation of Superconducting Sigma Strings and their Drum Vortons
• Irreducible cosmic production of relic vortons
• Shock waves in superconducting cosmic strings: growth of current
• Revisit of Y-junctions for strings with currents: transonic elastic case
• Collisions of cosmic strings with chiral currents