The physics of vortex superconductivity. II

Physics

Scientific paper

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Scientific paper

The effect of charge on a vortex world-sheet is examined. The relationship between world-sheet charge, winding number, and the flow of momentum along the vortex is illuminated. Full solutions for bosonic field and current profiles are obtained numerically. Both the string energy per unit length and tension are calculated. As an application stationary circular string solutions are studied. We find that except possibly for extreme cases rings stabilized by winding number alone do not exist. The role of angular momentum in stabilizing a ring is then discussed, emphasizing its model independent nature, and it is shown that in this case stationary spinning ring solutions, called vortons, are easily found. In a cosmological setting this can lead to a massive overdensity of vortons equivalent to a monopole problem.

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