English

Towards a String Formulation of Vortex Dynamics

High Energy Physics - Theory 2007-05-23 v2 Superconductivity Pattern Formation and Solitons patt-sol Fluid Dynamics

Abstract

We derive an exact equation of motion for a non-relativistic vortex in two- and three-dimensional models with a complex field. The velocity is given in terms of gradients of the complex field at the vortex position. We discuss the problem of reducing the field dynamics to a closed dynamical system with non-locally interacting strings as the fundamental degrees of freedom.

Keywords

Cite

@article{arxiv.hep-th/9711195,
  title  = {Towards a String Formulation of Vortex Dynamics},
  author = {Elsebeth Schroder and Ola Tornkvist},
  journal= {arXiv preprint arXiv:hep-th/9711195},
  year   = {2007}
}

Comments

Talk presented by Ola Tornkvist, to appear in the proceedings of the International Workshop on Solitons, their Properties, Dynamics, Interactions, and Applications in Kingston, Ontario, Canada, 20-26 July 1997. LaTeX, 5 pages