• Corpus ID: 219176727

The Kohn-Luttinger conundrum redux: Failure of finite-temperature many-body perturbation theory at low temperatures

  title={The Kohn-Luttinger conundrum redux: Failure of finite-temperature many-body perturbation theory at low temperatures},
  author={So Hirata},
It is shown analytically and numerically that the finite-temperature many-body perturbation theory in the grand canonical ensemble has zero radius of convergence at zero temperature when the energy of the ground state as a function of the perturbation strength either touches or crosses the energy function of an excited state. Contrary to earlier assertions concerning the role played by the chemical potential, this nonconvergence, first suspected by W. Kohn and J. M. Luttinger, is caused by the… 

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