1995/07/21 by Ivan Andrić, I. Andrić, Andrić, I. +5
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9507110
revtex, 11 pages. The delta interaction included, as required by latest results on renormalization of the Chern-Simons theory. This does not change the conclusion of the paper
openalex publication_date 1995/07/21 · arxiv created 1996/08/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/02
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 ł and the Calogero-Sutherland statistical parameter łc signalizes some sort of statistical transmutation accompanying the dimensional reduction of the initial problem.