FIZIKA B 7 (1998) 3, 119-125

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COLLECTIVE-FIELD FLUCTUATIONS AROUND THE WALL SOLUTION OF THE CHERN-SIMONS THEORY

IVAN ANDRIĆ, VELIMIR BARDEK and LARISA JONKE

e-mail addresses: andric@thphys.irb.hr , bardek@thphys.irb.hrlarisa@thphys.irb.hr

Theoretical Physics Division, Ruđer Bošković Institute, P.O. Box 1016, 10001 Zagreb, Croatia

Received 8 June 1998; Accepted 7 September 1998

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 k and the  statistical parameter l signalizes some sort of statistical transmutation accompanying the dimensional reduction of the initial problem.

PACS numbers: 11.10.Lm, 74.20.Kk, 03.65.Sq, 05.30.-d
UDC 539.12


Keywords: collective field, Jackiw-Pi model, large-N Chern-Simons theory, Calogero model

 

 
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