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FIZIKA B 7 (1998) 3, 119-125
 
COLLECTIVE-FIELD FLUCTUATIONS AROUND THE WALL SOLUTION OF THE
CHERN-SIMONS THEORY
IVAN ANDRIĆ, VELIMIR BARDEK and LARISA JONKE
e-mail addresses: [email protected]
, [email protected], [email protected]
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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