Finite Temperature Many-Body Theory with the Lipkin Model

Details Finite Temperature Many-Body Theory with the Lipkin Model Finite Temperature Many-Body Theory with the Lipkin Model

1993-08-02

arxiv.org/abs/nucl-th/9308001v1

Nucl.Phys. A580 (1994) 277-290

Physics

Nuclear Physics

Nuclear Theory

17 pages, NUC-MINN-93/16-T (4 figures obtainable by fax from the authors)

Scientific paper

10.1016/0375-9474(94)90774-9

We have compared exact numerical results for the Lipkin model at finite temperature with Hartree-Fock theory and with the results of including in addition the ring diagrams. In the simplest version of the Lipkin model the Hartree-Fock approach shows a ``phase transition" which is absent in the exact results. For more realistic cases, Hartree-Fock provides a very good approximation and a modest improvement is obtained by adding the ring diagrams.

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