Internal structure and the spacetime of superconducting bosonic strings

Piotr Amsterdamski; Pablo Laguna-Castillo

doi:10.1103/PhysRevD.37.877

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Internal structure and the spacetime of superconducting bosonic strings

Piotr Amsterdamski, Pablo Laguna-Castillo

DOI 10.1103/PhysRevD.37.877 · Physical Review D

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Abstract

The set of coupled field equations for the standard model of a bosonic superconducting cosmic string is solved numerically. Only a straight, infinitely long string is considered. The regular solutions exist for a limited range of the constants in the potential. We compute the solutions of the field equations, the linear energy density, maximal current, and the deficit angle for several different choices of the constants. The maximal current occurs when the total energy is smaller than the energy of the string in the nonsuperconducting phase. We argue that the transition from the superconducting phase to the ordinary one is smooth.