On the topological charge of SO(2)gauged Skyrmions in 2 +1and 3 +1dimensions
The question of the dependence of the topological charge qof a gauged Skyrmion, on the gauge field, is studied quantitatively. Two examples, both gauged with SO(2)are studied and contrasted:i)The O(3) model in 2 +1dimensions, andii)The O(4)model in 3 +1dimensions. In casei), where the (usual) Chern–...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/88384 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/88384 |
| Access Level: | acceso abierto |
| Palabra clave: | 53 51-73 Solitons Skyrmions Topological charge Instantons Física matemática Física-Modelos matemáticos 2212 Física Teórica |
| Sumario: | The question of the dependence of the topological charge qof a gauged Skyrmion, on the gauge field, is studied quantitatively. Two examples, both gauged with SO(2)are studied and contrasted:i)The O(3) model in 2 +1dimensions, andii)The O(4)model in 3 +1dimensions. In casei), where the (usual) Chern–Simons (CS) term is present, the value of qchanges sign, going through zero. This evolution is tracked by a parameter characterising the solutions in the given theory. In caseii), in which dimensions no CS density is available, the evolution of qis not observed. |
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