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

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

1995-08-23

arxiv.org/abs/hep-th/9508115v1

Nucl.Phys. B466 (1996) 499-512

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0550-3213(96)00071-5

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.

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