Variational study of ordinary and superconducting cosmic strings

Physics – Condensed Matter – Superconductivity

Scientific paper

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Abel Function, Cosmology, String Theory, Superconductivity, Vortices, Hamiltonian Functions, Magnetic Flux, Potential Energy, Quenching (Atomic Physics)

Scientific paper

A variational approach is used to study Abelian vortices, both the ordinary and bosonic superconducting varieties. Accurate results for the energy per length are presented. For superconducting strings, the parameter space of solutions is mapped out, the critical current is quantified, the quench transition is discussed, and the possibility of static solutions where electromagnetic stresses balance the string tension is investigated.

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