Replica Treatment of the Calogero-Sutherland Model

Dimitry M. Gangardt; Alex Kamenev

doi:10.1016/s0550-3213(01)00326-1

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Replica Treatment of the Calogero-Sutherland Model

Dimitry M. Gangardt·Alex Kamenev

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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 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 $λ$.

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Dimitry M. Gangardt, Alex Kamenev. 2001-04-11. Replica Treatment of the Calogero-Sutherland Model. https://doi.org/10.1016/s0550-3213(01)00326-1

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