Replica treatment of the Calogero–Sutherland model

Dimitri Gangardt; A Kamenev

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

Replica treatment of the Calogero–Sutherland model

Dimitri Gangardt, A Kamenev

Physics and Astronomy

Research output: Contribution to journal › Article

25 Citations (Scopus)

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 lambda. (C) 2001 Elsevier Science B.V. All rights reserved.

Original language	English
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
Publication status	Published - 10 Sept 2001

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title = "Replica treatment of the Calogero–Sutherland model",

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 lambda. (C) 2001 Elsevier Science B.V. All rights reserved.",

author = "Dimitri Gangardt and A Kamenev",

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AU - Kamenev, A

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N2 - 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.

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 lambda. (C) 2001 Elsevier Science B.V. All rights reserved.

U2 - 10.1016/S0550-3213(01)00326-1

DO - 10.1016/S0550-3213(01)00326-1

M3 - Article

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VL - 610

SP - 578

EP - 594

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -

Replica treatment of the Calogero–Sutherland model

Abstract

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