Low energy dynamics of U(1)^{N} Chern-Simons solitons

Details Low energy dynamics of U(1)^{N} Chern-Simons solitons Low energy dynamics of U(1)^{N} Chern-Simons solitons

1994-03-22

arxiv.org/abs/hep-th/9403127v2

Phys.Rev. D49 (1994) 5469-5479

Physics

High Energy Physics

High Energy Physics - Theory

keywords: vortex, vortices, anyons, fractional statistics, 20 pages in Latex, accepted for publication in Phys.Rev.D, ( the ab

Scientific paper

10.1103/PhysRevD.49.5469

We apply the adiabatic approximation to investigate the low energy dynamics of vortices in the parity invariant double self-dual Higgs model with only mutual Chern-Simons interaction. When distances between solitons are large they are particles subject to the mutual interaction. The dual formulation of the model is derived to explain the sign of the statistical interaction. When vortices of different types pass one through another they behave like charged particles in magnetic field. They can form a bound state due to the mutual magnetic trapping. Vortices of the same type exhibit no statistical interaction. Their short range interactions are analysed. Possible quantum effects due to the finite width of vortices are discussed.

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