Expansion in the width: The case of vortices
Feb, 199524 pages
Published in:
- Nucl.Phys.B 450 (1995) 189-208
e-Print:
- hep-th/9503001 [hep-th]
Report number:
- TPJU-3-95
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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 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 the single zero in general does not lie on Nambu-Goto type trajectory.Note:
- 25 pages, LaTeX, no figures
- gauge field theory: U(1)
- Higgs model
- vortex
- perturbation theory
- zero mode
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