Replica Treatment of the Calogero-Sutherland Model
Strongly Correlated Electrons
2009-11-07 v2 Mesoscale and Nanoscale Physics
High Energy Physics - Theory
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 to non-integer 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 .
Keywords
Cite
@article{arxiv.cond-mat/0102405,
title = {Replica Treatment of the Calogero-Sutherland Model},
author = {Dimitry M. Gangardt and Alex Kamenev},
journal= {arXiv preprint arXiv:cond-mat/0102405},
year = {2009}
}
Comments
15 pages, 3 figures, revised version, section 5 corrected, submitted to Nucl.Phys.B