Renormalization group approach to the theory of the Fermi surface

We describe an approach to the theory of the Fermi surface based on the renormalization group. A notion of the quasiparticle appears naturally in the theory. The beta function is finite to all orders of the perturbation theory and we compute and discuss it to second order. The normality of the Fermi surface is linked to the repulsivity of the quasiparticle potential; the remarkable cancellations that occur in the beta function lead one to think that a normal Fermi surface can perhaps occur, but only when the interaction between the quasiparticles is repulsive. The approach was first proposed in an earlier paper and we give an improved version of it here referring to the earlier work only to make use of technical estimates derived there.