Finite Temperature Many-Body Theory with the Lipkin Model
S. Y. Tsay Tzeng, P. J. Ellis, T. T. S. Kuo, E. Osnes
Abstract
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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