The topological structure of the vortices in the O(n) symmetric TDGL model

Details The topological structure of the vortices in the O(n) symmetric TDGL model The topological structure of the vortices in the O(n) symmetric TDGL model

1998-09-02

arxiv.org/abs/hep-th/9809014v1

Phys.Lett. A252 (1999) 307-315

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX

Scientific paper

10.1016/S0375-9601(98)00959-1

In the light of $\phi $--mapping method and topological current theory, the topological structure of the vortex state in TDGL model and the topological quantization of the vortex topological charges are investigated. It is pointed out that the topological charges of the vortices in TDGL model are described by the Winding numbers of $\phi $--mapping which are determined in terms of the Hopf indices and the Brouwer degrees of $\phi $--mapping.

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