engleski

Dimensional Reduction of the Chern-Simons Theory in Large-N Limit

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 fluctuations around the semiclassical wall solution is governed by the Calogero Hamiltonian . The relationship between the Chern-Simons coupling constant kappa and the statistical parameter lambda signalizes some sort of statistical transmutation accompanying the dimensional reduction of the initial problem.

collective field; Jackiw-Pi model; large-N Chern-Simons theory; Calogero model

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