Slow Schroedinger dynamics of gauged vortices
| dc.creator | Romao, N. M. | |
| dc.creator | Speight, J. M. | |
| dc.date | 2004-03-22 | |
| dc.date.accessioned | 2026-07-07T11:32:16Z | |
| dc.date.available | 2026-07-07T11:32:16Z | |
| dc.description | Multivortex dynamics in Manton's Schroedinger--Chern--Simons variant of the Landau-Ginzburg model of thin superconductors is studied within a moduli space approximation. It is shown that the reduced flow on M_N, the N vortex moduli space, is hamiltonian with respect to ω_{L^2}, the L^2 Kaehler form on \M_N. A purely hamiltonian discussion of the conserved momenta associated with the euclidean symmetry of the model is given, and it is shown that the euclidean action on (M_N,ω_{L^2}) is not hamiltonian. It is argued that the N=3 flow is integrable in the sense of Liouville. Asymptotic formulae for ω_{L^2} and the reduced Hamiltonian for large intervortex separation are conjectured. Using these, a qualitative analysis of internal 3-vortex dynamics is given and a spectral stability analysis of certain rotating vortex polygons is performed. Comparison is made with the dynamics of classical fluid point vortices and geostrophic vortices. | |
| dc.description | 22 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/0403215 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0403215 | |
| dc.identifier | Nonlinearity.17:1337-1355,2004 | |
| dc.identifier | doi:10.1088/0951-7715/17/4/010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/197537 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Slow Schroedinger dynamics of gauged vortices | |
| dc.type | text |