Analytic Properties of Single-Particle Propagators for Many-Fermion Systems

Phys. Rev. 121, 942 – Published 15 February 1961
J. M. Luttinger


Certain general properties of single-particle propagators for a system of interacting fermions are derived. In addition, the properties of the proper self-energy part Gk(ζ) which were used in previous work on the ground-state energy and on the Fermi surface are established. In particular, the fact that to all orders of perturbation theory in the interaction, Im Gk(x-i0+) behaves like Ck(x-μ)2 (Ck>0) for x very near μ, is proved.


  • Received 1 October 1960
  • Published in the issue dated February 1961

© 1961 The American Physical Society

Authors & Affiliations

J. M. Luttinger

  • Columbia University, New York, New York

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