Single-particle Green function in the Calogero-Sutherland model for rational couplings β = p/q Original Research Article

We derive an exact expression for the single-particle Green function in the Calogero-Sutherland model for all the rational values of the coupling β. The calculation is based on Jack polynomial techniques and the results are given in the thermodynamical limit. Two types of intermediate states contribute. The first 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.