Benfatto G., Gallavotti G., Mastropietro V.
Renormalization group and the Fermi surface in the Luttinger model.
(64K, Plain Tex)

ABSTRACT.  The exactly soluble Luttinger model can be also analyzed from the point of 
view of the renormalization group.  A perturbation theory of the beta function 
of the model is derived. We argue that the main terms of the beta function 
vanish identically if the anomalous dimension is properly treated and if 
suitable properties of the exact solution are taken into account.
Our treatment is purely perturbative and we do not discuss the problems of 
convergence of the formal series defining the beta function: however the 
property that the series defining it is convergent has been recently 
established.