Giovanni Gallavotti
Renormalization group in Statistical Mechanics and Mechanics: 
gauge symmetries and vanishing beta functions.
(93K, TeX)

ABSTRACT.  Two very different problems that can be studied by 
renormalization group methods are discussed with the aim of showing 
the conceptual unity that renormalization group has introduced in some 
areas of theoretical Physics. The two problems are: the ground state 
theory of a one dimensional quantum Fermi liquid and the existence of 
quasi periodic motions in classical mechanical systems close to 
integrable ones. I summarize here the main ideas and show that the two 
treatments, although completely independent of each other, are 
strikingly similar.