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.