Single particle Green's function in the Calogero-Sutherland model for rational couplings $β=p/q$
arXiv:hep-th/9508115 · doi:10.1016/0550-3213(96)00071-5
Abstract
We derive an exact expression for the single particle Green function in the Calogero-Sutherland model for all rational values of the coupling $β$. 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.
9 pages, RevTeX, epsf.tex, 4 figures, files uuencoded