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

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

Abstract

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.

DOI: http://dx.doi.org/10.1103/PhysRev.121.942

  • 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

References (Subscription Required)

Authorization Required


×
×

Images

×

Log In

Cancel
×

Search


Article Lookup
Paste a citation or DOI

Enter a citation
×
  1. Enter a citation to look up or terms to search.

    Ex: "PRL 112 068103", "Phys. Rev. Lett. 112, 068103", "10.1103/PhysRevLett.112.068103"