Towards a String Formulation of Vortex Dynamics

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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.
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

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