The Luttinger model: its role in the RG-theory of one dimensional many   body Fermi systems
  The Luttinger model was introduced to illustrate the theory of Tomonaga via an exactly soluble model. It became soon the subject of great interest also on the part of Mathematical Physics and a key to the investigations of the mathematical properties of Condensed Matter Physics. This paper reviews aspects of the above developments relevant for renormalization group methods. 
Giovanni Gallavotti