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

Abstract

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.

keywords: vortex, vortices, anyons, fractional statistics, 20 pages in Latex, accepted for publication in Phys.Rev.D, ( the above keywords missing in the title were added )

References in corpus (2)

• Schrödinger Fields on the Plane with $[U(1){]}^N$ Chern-Simons Interactions and Generalized Self-dual Solitons
• Vortex Dynamics in Self-Dual Chern-Simons Higgs Systems

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• Degree counting theorems for singular Liouville systems
• Construction of Multi-Bubble Solutions for a System of Elliptic Equations arising in Rank Two Gauge Theory
• Vortices in a parity-invariant Maxwell-Chern-Simons model
• Existence results for a non-relativistic Chern-Simons model with purely mutual interaction
• Self-dual Maxwell-Chern-Simons solitons in a parity-invariant scenario