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Renormalization group approach to Fermi Liquid Theory

N. Dupuis·G. Chitov
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Abstract

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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N. Dupuis, G. Chitov. 1995-11-29. Renormalization group approach to Fermi Liquid Theory. https://doi.org/10.1103/physrevb.54.3040

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