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

1995/08/23 by D. Serban, Didina Serban, Frédéric Lesage +3 · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Molecular spectroscopy and chirality #Quantum many-body systems #cond-mat #hep-th

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

published as Nucl.Phys. B466 (1996) 499-512 · 9 pages, RevTeX, epsf.tex, 4 figures, files uuencoded

arxiv created 1995/08/23 · openalex publication_date 1996/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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