Replica treatment of the Calogero-Sutherland model

Dimitry M. Gangardt; Alex Kamenev

doi:10.1016/S0550-3213(01)00326-1

Replica treatment of the Calogero-Sutherland model

Dimitry M. Gangardt, Alex Kamenev

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Abstract

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 λ.

Original language	English (US)
Pages (from-to)	578-594
Number of pages	17
Journal	Nuclear Physics B
Volume	610
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(01)00326-1
State	Published - Sep 10 2001

Bibliographical note

Funding Information:
Discussions with B. Altshuler initiated this project. We are also indebted to Y. Avron, J. Feinberg, S. Fishman, B. Simons, M. Zirnbauer and A. Ludwig for valuable conversations. This research was supported in part by the US–Israel Binational Science Foundation (BSF), by the Minerva Center for Non-linear Physics of Complex Systems, by the Israel Science Foundation, by the Niedersachsen Ministry of Science (Germany), and by the Fund for Promotion of Research at the Technion.

Keywords

03.65.-w
03.65.Sq
12.38.Lg

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10.1016/S0550-3213(01)00326-1

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abstract = "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 λ.",

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AU - Kamenev, Alex

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AB - 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 λ.

KW - 03.65.-w

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Replica treatment of the Calogero-Sutherland model

Abstract

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Keywords

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