Multivortex solutions of the Ginzburg-Landau equations

Abstract

Multivortex solutions of the Ginzburg-Landau equations (or, equivalently, of the Abelian Higgs model) are considered for a special choice of parameters. It is shown that for every $n$ there is a $2n$-parameter family of $n$-vortex solutions. It is conjectured that the parameters are just those needed to specify the positions of the vortices and that the vortices behave very much like noninteracting particles. DOI: http://dx.doi.org/10.1103/PhysRevD.19.3008 © 1979 The American Physical Society