Slow Schrödinger dynamics of gauged vortices

@inproceedings{Romo2004SlowSD,
  title={Slow Schr{\"o}dinger dynamics of gauged vortices},
  author={Nuno M. Rom{\~a}o and J. M. Speight},
  year={2004}
}
Multivortex dynamics in Manton’s Schrödinger–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 MN , the N vortex moduli space, is hamiltonian with respect to ωL2 , the L 2 Kähler form on MN . 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 (MN , ωL2) is not hamiltonian. It… CONTINUE READING

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