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“Infrared Catastrophe:” When Does It Trash Fermi Liquid Theory?

  • P. W. Anderson
Chapter
Part of the NATO ASI Series book series (NSSB, volume 343)

Abstract

We give an historical discussion of the “infrared catastrophe” and the “x-ray edge anomalies” of Mahan associated with scatterers in a Fermi sea of electrons. The infrared catastrophe provides a perspicuous way into understanding the difficulties with many-body perturbation theory which have recently been discovered as a result of a study of high T c superconductivity, and we show how this “catastrophe” is avoided in some cases, but cannot be avoided in the one and 2-dimensional electron gas systems. Finally, we indicate the new type of theory which is necessary in the event of such a breakdown.

Keywords

Fermi Surface Slater Determinant Ladder Diagram Scatter Phase Shift Fermi Liquid Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • P. W. Anderson
    • 1
  1. 1.Dept. of Physics Joseph Henry Laboratories of Physics Jadwin HallPrinceton UniversityPrincetonUSA

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