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.
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© 1995 Springer Science+Business Media New York
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Anderson, P.W. (1995). “Infrared Catastrophe:” When Does It Trash Fermi Liquid Theory?. In: Baeriswyl, D., Campbell, D.K., Carmelo, J.M.P., Guinea, F., Louis, E. (eds) The Hubbard Model. NATO ASI Series, vol 343. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1042-4_23
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DOI: https://doi.org/10.1007/978-1-4899-1042-4_23
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