Topology and Energy of Time Dependent Unitons
| dc.creator | Dunajski, Maciej | |
| dc.creator | Plansangkate, Prim | |
| dc.date | 2006-05-18 | |
| dc.date | 2006-11-26 | |
| dc.date.accessioned | 2026-07-07T10:42:21Z | |
| dc.date.available | 2026-07-07T10:42:21Z | |
| dc.description | We consider a class of time dependent finite energy multi-soliton solutions of the U(N) integrable chiral model in $(2+1)$ dimensions. The corresponding extended solutions of the associated linear problem have a pole with arbitrary multiplicity in the complex plane of the spectral parameter. Restrictions of these extended solutions to any spacelike plane in $\R^{2,1}$ have trivial monodromy and give rise to maps from a three sphere to U(N). We demonstrate that the total energy of each multi-soliton is quantised at the classical level and given by the third homotopy class of the extended solution. This is the first example of a topological mechanism explaining classical energy quantisation of moving solitons. | |
| dc.description | 20 pages, one figure. References added and boundary conditions clarified. Final version, to appear in the Proceedings of the Royal Society A | |
| dc.identifier | https://arxiv.org/abs/hep-th/0605185 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0605185 | |
| dc.identifier | Proc.Roy.Soc.Lond.A463:945-959,2007 | |
| dc.identifier | doi:10.1098/rspa.2006.1799 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/181915 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Topology and Energy of Time Dependent Unitons | |
| dc.type | text |