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arXiv · hep-th/9503001

Expansion in the Width: the Case of Vortices

H. Arodz
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Abstract

We construct an approximate solution of field equations in the Abelian Higgs model which describes motion of a curved vortex. The solution is found to the first order in the inverse mass of the Higgs field with the help of the Hilbert-Chapman-Enskog method. Consistency conditions for the approximate solution are obtained with the help of a classical Ward identity. We find that the Higgs field of the curved vortex of the topological charge $n \geq 2$ in general does not have single n-th order zero. There are two zeros: one is of the (n-1)-th order and it follows a Nambu-Goto type trajectory, the other one is of the first order and its trajectory in general is not of the Nambu-Goto type. For $|n|=1$ the single zero in general does not lie on Nambu-Goto type trajectory.

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H. Arodz. 1995-03-01. Expansion in the Width: the Case of Vortices. https://doi.org/10.1016/0550-3213(95)00386-7

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