Marginal Fermi Liquid Theory and Renormalization Effects

  • N. Mitani
  • S. Kurihara
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 60)


Marginal Fermi liquid theory proposed by Varma et al. is based on an assumption concerning the imaginary part of the polarization part. We investigate the consequences of this assumption paying full respect to the Ward-Takahashi identity, and find that the vertex corrections are of vital importance. Our result at the low-energy region is that Varma et al.’s assumption does not break the Fermi-liquid picture, as long as the low-energy excitations are concerned.


Fermi Liquid Vertex Correction Quasi Particle Vertex Part Momentum Distribution Function 
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  1. 1.
    C.M. Varma, P.B. Littlewood, S. Schmitt-Rink, E. Abrahames, and A.E. Rukenstein, Phys. Rev. Lett. 63, 1996 (1989).CrossRefADSGoogle Scholar
  2. 2.
    S. Engelsberg and J.R. Schrieffer, Phys. Rev. 131, 993 (1963)CrossRefADSGoogle Scholar
  3. 3.
    This problem has once been considered by Engelbrecht et al. [J.R. Engelgrecht and M. Randeria Phys. Rev. Lett. 65, 1032 (1990)], in a two dimensional Fermi gas with an arbitrary short-range repulsive force. We reconsidered the singularity of the vertex part because of recent interest in MFL theory [Ref.1].Google Scholar
  4. 4.
    See, for example, Bjorken and Drell, Relativistic Quantum Fields ( Mc Graw-Hill, New york, (1965) ) Chapter 18.Google Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1992

Authors and Affiliations

  • N. Mitani
    • 1
  • S. Kurihara
    • 1
  1. 1.NTT Basic Research LaboratoriesMusashino, Tokyo 180Japan

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