Original scientific paper
Collective-field fluctuations around the wall solution of the C hern-Simons theory
Ivan Andrić
; Theoretical Physics Division, Ruđer Bošković Institute, P.O. Box 1016, 10001 Zagreb, Croatia
Velimir Bardek
; Theoretical Physics Division, Ruđer Bošković Institute, P.O. Box 1016, 10001 Zagreb, Croatia
Larisa Jonke
; Theoretical Physics Division, Ruđer Bošković Institute, P.O. Box 1016, 10001 Zagreb, Croatia
Abstract
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 κ and the statistical parameter α signalizes some sort of statistical transmutation accompanying the dimensional reduction of the initial problem.
Keywords
collective field; Jackiw-Pi model; large-N Chern-Simons theory; Calogero model
Hrčak ID:
303818
URI
Publication date:
2.8.1998.
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