Collective-field fluctuations around the wall solution of the Chern-Simons theory (CROSBI ID 80964)
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Podaci o odgovornosti
Andrić, Ivan ; Bardek, Velimir ; Jonke, Larisa
engleski
Collective-field fluctuations around the wall solution of the Chern-Simons theory
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 kapppa and the statistical parameter lambda signalizes some sort of statistical transmutation accompanying the dimensional reduction of the initial problem.
collective field; Jackiw-Pi model; large-N Chern-Simons theory; Calogero model
nije evidentirano
hrvatski
Fluktuacije kolektivnog polja oko zidnog rješenja Chern-Simonsove teorije
Razmatra se Chern-Simonsova teorija za privlačnu bozonsku tvar (Jackiw-Pi model) u pristupu hamiltonijana kolektivnog polja zasnovanog na 1q N razvoju. Pokazuje se da dinamikom niskoležećih fluktuacija gustoće oko poluklasičnog zidnog rješenja upravlja Calogerov hamiltonijan. Odnos između Chern-Simonsove konstante vezanja κ i Calogerovog statističkog parametra λ ukazuje na neku vrstu statističke transmutacije koja prati smanjenje dimenzija početnog problema.
kolektivno polje; Chern-Simonsova teorija; Jackiw-Pi model
nije evidentirano
