Correlation functions of the BC Calogero-Sutherland model
Authors: Nishigaki S.M.1; Gangardt D.M.2; Kamenev A.3
Source: Journal of Physics A: Mathematical and General, Volume 36, Number 12, 2003 , pp. 3137-3151(15)
Publisher: Institute of Physics Publishing
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Abstract:
The BC-type Calogero-Sutherland model (CSM) is an integrable extension of the ordinary A-type CSM that possesses a reflection symmetry point. The BC-CSM is related to the chiral classes of random matrix ensembles (RMEs) in exactly the same way as the A-CSM is related to the Dyson classes. We first develop the fermionic replica -model formalism suitable to treat all chiral RMEs. By exploiting 'generalized colour-flavour transformation' we then extend the method to find the exact asymptotics of the BC-CSM density profile. Consistency of our result with the c 1 Gaussian conformal field theory description is verified. The emerging Friedel oscillations structure and sum rules are discussed in details. We also compute the distribution of the particle nearest to the reflection point.
Language: English
Document Type: Miscellaneous
Affiliations: 1: Department of Physics, University of Connecticut, Storrs, CT 06269, USA 2: LKB, Laboratoire de Physique de l'ENS, 24 rue Lhomond, 75005 Paris, France 3: Department of Physics, University of Minnesota, Minneapolis, MN 55455, USA
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