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25 April 2024
 
  » arxiv » hep-th/9811109

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Quantum fluctuations of the Chern-Simons theory and dynamical dimensional reduction
Ivan Andric ; Velimir Bardek ; Larisa Jonke ;
Date 12 Nov 1998
Journal Phys.Rev. D59 (1999) 107702
Subject hep-th
AffiliationRudjer Boskovic Institute, Croatia
AbstractWe 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.
Source arXiv, hep-th/9811109
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