Elsevier

Annals of Physics

Volume 260, Issue 2, 1 November 1997, Pages 203-223
Annals of Physics

Regular Article
Applications of the Collective Field Theory for the Calogero–Sutherland Model

https://doi.org/10.1006/aphy.1997.5728Get rights and content

Abstract

We use the collective field theory known for the Calogero–Sutherland model to study a variety of low-energy properties. These include the ground state energy in a confining potential up to the two leading orders in the particle number, the dispersion relation of sound modes with a comparison to the two leading terms in the low temperature specific heat, large amplitude waves, and single solution solutions. The two-point correlation function derived from the dispersion relation of the sound mode only gives its nonoscillatory asymptotic behavior correctly, demonstrating that the theory is applicable only for the low-energy and long wavelength excitations of the system.

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    A. Erdélyi, Ed.

    *

    Permanent address: Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560012, India.

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