| Автор | L J Boya |
| Автор | J Mateos |
| Дата выпуска | 1982-11-01 |
| dc.description | The authors interpret the vortex solution of Nielsen-Olesen (1973) as a complex vector bundle associated to the second Hopf sphere bundle (analogously to consider the kink of the first Hopf bundle); the peculiarity of the soliton behaviour of the two-dimensional vortex stems from the non-trivial character of the fibration; the electromagnetic and scalar (Higgs) field are the connection and the section in this bundle respectively. Properties of this mathematical construction have their natural physical translation; for example the complex structure of the sphere S<sup>2</sup> leads to a closed (Kahler) two-form, which has physical implications, and the fact that the vortex can be considered as the square root of the tangent bundle to the sphere implies a spinor nature for the vortex. A Morse theory of critical points suggests some Atiyah-Singer type of theorems, which have bearing on the stability of the multi-vortex solutions. They finish by a geometrical interpretation of the fractional charges found recently. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | The vortex: complex Hopf bundle and Morse theory |
| Тип | paper |
| DOI | 10.1088/0305-4470/15/11/021 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 15 |
| Первая страница | 3441 |
| Последняя страница | 3451 |
| Аффилиация | L J Boya; Dept. de Fisica Teorica, Univ. de Salamanca, Salamanca, Spain |
| Аффилиация | J Mateos; Dept. de Fisica Teorica, Univ. de Salamanca, Salamanca, Spain |
| Выпуск | 11 |
