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arXiv:hep-th/9605196 · Journal of Physics A Mathematical and General

Multi-vortex solution in the Sutherland model

I Andric, V Bardek, L Jonke

Published Jan 21, 1997• 3 citations
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Abstract

We consider the large-N Sutherland model in the Hamiltonian collective-field approach based on the 1/N expansion. The Bogomol'nyi limit appears and the corresponding solutions are given by static-soliton configurations. They exist only for , i.e. for the negative coupling constant of the Sutherland interaction. We determine their creation energies and show that they are unaffected by higher-order corrections.

DOI
10.1088/0305-4470/30/2/031

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We consider the large-NNN Chern-Simons theory for attractive bosonic matter (Jackiw-Pi model) in the Hamiltonian collective-field approach based on the 1/N1/N1/N expansion. We show that the dynamics of low-lying density excitations around the ground-state vortex configuration is equivalent to that of the Sutherland model. The correspondence between the Chern-Simons coupling constant $\ensuremath{\lambda}$ and the Calogero-Sutherland statistical parameter ${\ensuremath{\lambda}}_{s}$ signals some sort of statistical transmutation accompanying the dimensional reduction of the initial problem.
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