G. Benfatto, G. Gallavotti
In Physical Review,{\bf B42}, 9967- 9972, 1990
Renormalization group approach to the theory of the Fermi surface.
Abstract: we describe an approach to the theory of the Fermi
surface based on the renormalization group. A notion of quasi particle
appears naturally in the theory. The beta function is finite to all orders
of perturbation theory and we compute and discuss it to second order. The
normality of the Fermi surface is linked to the repulsivity of the quasi
particle potential: the remarkable cancellations that occur in the beta
function lead to think that a normal Fermi surface can perhaps occur, but
only when the interaction between the quasi particles is repulsive. The
approach was first proposed in an earlier paper, [BG1], and we give here an
improved version of it, referring to [BG1] only to make use of technical
estimates derived there.