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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

Sažetak

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.

Ključne riječi

collective field; Jackiw-Pi model; large-N Chern-Simons theory; Calogero model

Hrčak ID:

303818

URI

https://hrcak.srce.hr/303818

Datum izdavanja:

2.8.1998.

Podaci na drugim jezicima: hrvatski

Posjeta: 458 *