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 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 $\lambda$.

15 pages, 3 figures, revised version, section 5 corrected, submitted to Nucl.Phys.B

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