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Stability and the equation of state for kinky vortons

2009/08/10 by Richard A. Battye, Richard Battye, Paul Sutcliffe · 1 citation
Engineering · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #Superconducting Materials and Applications #hep-th

paper · pdf · doi:10.1103/physrevd.80.085024

published as Phys.Rev.D80:085024,2009 · 13 pages, 6 figures

arxiv created 2009/08/10 · openalex publication_date 2009/10/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Vortons are closed loops of superconducting strings carrying current and charge. A formalism has been developed to study vortons in terms of an elastic string approximation, but its implementation requires knowledge of the unknown equation of state, relating the string tension to the energy per unit length. Recently, a planar analogue of the vorton, known as a kinky vorton, has been introduced. In this paper we derive an exact formula for the equation of state of a kinky vorton and use it to calculate the properties of the associated elastic string, such as the transverse and longitudinal propagation speeds. In particular, the elastic string approximation predicts a complicated and highly nontrivial pattern of intervals of instability, which we are able to confirm using full field simulations. The implications of the results for vortons are also discussed.

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