Quantum fluctuations of the Chern-Simons theory and dynamical dimensional reduction

Details Quantum fluctuations of the Chern-Simons theory and dynamical dimensional reduction Quantum fluctuations of the Chern-Simons theory and dynamical dimensional reduction

1998-11-12

arxiv.org/abs/hep-th/9811109v1

Phys.Rev. D59 (1999) 107702

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 2 figures

Scientific paper

10.1103/PhysRevD.59.107702

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 low-lying density excitations around the ground-state vortex configuration is equivalent to that of the Sutherland model. The relationship between the Chern-Simons coupling constant lambda and the Calogero-Sutherland statistical parameter lambda_s signalizes some sort of statistical transmutation accompanying the dimensional reduction of the initial problem.

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