Replica treatment of the Calogero–Sutherland model

Dimitri Gangardt, A Kamenev

Research output: Contribution to journalArticle

25 Citations (Scopus)


Employing Forrester-Ha method of Jack polynomials, we derive an integral identity connecting certain N-fold coordinate average of the Calogero-Sutherland model with the n-fold replica integral. Subsequent analytical continuation in n leads to asymptotic expressions for the (static and dynamic) density-density correlation function of the model as well as the Green's function for an arbitrary coupling constant lambda. (C) 2001 Elsevier Science B.V. All rights reserved.
Original languageEnglish
Pages (from-to)578-594
Number of pages17
JournalNuclear Physics B
Issue number3
Publication statusPublished - 10 Sept 2001


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