Static intervortex forces

Details Static intervortex forces Static intervortex forces

1996-03-22

arxiv.org/abs/hep-th/9603155v2

Phys.Rev. D55 (1997) 3830-3835

Physics

High Energy Physics

High Energy Physics - Theory

Much shorter (10 pages) published version, new title

Scientific paper

10.1103/PhysRevD.55.3830

A point particle approximation to the classical dynamics of well separated vortices of the abelian Higgs model is developed. A static vortex is asymptotically identical to a solution of the linearized field theory (a Klein-Gordon/Proca theory) in the presence of a singular point source at the vortex centre. It is shown that this source is a composite scalar monopole and magnetic dipole, and the respective charges are determined numerically for various values of the coupling constant. The interaction potential of two well separated vortices is computed by calculating the interaction Lagrangian of two such point sources in the linear theory. The potential is used to model type II vortex scattering.

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