Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-02-16
Physics Reports, 352, 251--272, 2001
Physics
Condensed Matter
Statistical Mechanics
Plain TeX, 20 pages 7 figures (included in ps format)
Scientific paper
10.1016/S0370-1573(01)00040-0
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.
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