Applications of the Collective Field Theory for the Calogero-Sutherland Model

Details Applications of the Collective Field Theory for the Calogero-Sutherland Model Applications of the Collective Field Theory for the Calogero-Sutherland Model

1997-02-17

arxiv.org/abs/cond-mat/9702152v1

Annals Phys. 260 (1997) 203-223

Physics

Condensed Matter

Statistical Mechanics

LaTeX, 31 pages

Scientific paper

10.1006/aphy.1997.5728

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 upto 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 soliton 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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