Domain walls in a non-linear S^2 -sigma model with homogeneous quartic polynomial potential
Abstract
In this paper the domain wall solutions of a Ginzburg-Landau non-linear S^2 -sigma hybrid model are exactly calculated. There exist two types of basic domain walls and two families of composite domain walls. The domain wall solutions have been identified by using a Bogomolny arrangement in a system of sphero-conical coordinates on the sphere S^2 . The stability of all the domain walls is also investigated.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- November 2018
- DOI:
- 10.1007/JHEP11(2018)023
- arXiv:
- arXiv:1806.11458
- Bibcode:
- 2018JHEP...11..023A
- Keywords:
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- Solitons Monopoles and Instantons;
- Integrable Field Theories;
- High Energy Physics - Theory
- E-Print:
- 23 pages, 5 figures