Single particle Green's function in the Calogero-Sutherland model for rational couplings $\beta=p/q$

D. Serban; F. Lesage; V. Pasquier

doi:10.1016/0550-3213(96)00071-5

Single particle Green's function in the Calogero-Sutherland model for rational couplings $\beta=p/q$

High Energy Physics - Theory 2009-10-28 v1 Condensed Matter

Authors: D. Serban , F. Lesage , V. Pasquier

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Abstract

We derive an exact expression for the single particle Green function in the Calogero-Sutherland model for all rational values of the coupling $\beta$ . The calculation is based on Jack polynomial techniques and the results are given in the thermodynamical limit. Two type of intermediate states contribute. The firts one consists of a particle propagating out of the Fermi sea and the second one consists of a particle propagating in one direction, q particles in the opposite direction and p holes.

Keywords

single particle green function calogero-sutherland model rational coupling jack polynomials thermodynamic limit fermi sea

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@article{arxiv.hep-th/9508115,
  title  = {Single particle Green's function in the Calogero-Sutherland model for rational couplings $\beta=p/q$},
  author = {D. Serban and F. Lesage and V. Pasquier},
  journal= {arXiv preprint arXiv:hep-th/9508115},
  year   = {2009}
}

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9 pages, RevTeX, epsf.tex, 4 figures, files uuencoded

Single particle Green's function in the Calogero-Sutherland model for rational couplings $\beta=p/q$

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