Renormalization group approach to Fermi Liquid Theory

Details Renormalization group approach to Fermi Liquid Theory Renormalization group approach to Fermi Liquid Theory

1995-11-24

arxiv.org/abs/cond-mat/9511120v2

Physics

Condensed Matter

4 pages (RevTex) + 1 postcript file, everything in a uuencoded file, uses epsf (problem with the figure in the first version)

Scientific paper

10.1103/PhysRevB.54.3040

We show that the renormalization group (RG) approach to interacting fermions at one-loop order recovers Fermi liquid theory results when the forward scattering zero sound (ZS) and exchange (ZS$'$) channels are both taken into account. The Landau parameters are related to the fixed point value of the ``unphysical'' limit of the forward scattering vertex. We specify the conditions under which the results obtained at one-loop order hold at all order in a loop expansion. We also emphasize the similarities between our RG approach and the diagrammatic derivation of Fermi liquid theory.

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