Calogero-Sutherland model from excitations of Chern-Simons vortices

Details Calogero-Sutherland model from excitations of Chern-Simons vortices Calogero-Sutherland model from excitations of Chern-Simons vortices

1995-07-21

arxiv.org/abs/hep-th/9507110v2

Physics

High Energy Physics

High Energy Physics - Theory

revtex, 11 pages. The delta interaction included, as required by latest results on renormalization of the Chern-Simons theory.

Scientific paper

We consider a large-N Chern-Simons theory for the attractive bosonic matter (Jackiw-Pi model) in the Hamiltonian, collective-field approach based on the 1/N expansion. We show that the dynamics of density excitations around the ground-state semiclassical configuration is governed by the Calogero or by the Sutherland Hamiltonian, depending on the symmetry of the underlying static-soliton configuration. The relationship between the Chern-Simons coupling constant $\l$ and the Calogero-Sutherland statistical parameter $\l_c$ signalizes some sort of statistical transmutation accompanying the dimensional reduction of the initial problem.

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