Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization group in Statistical Mechanics and Mechanics: gauge
  symmetries and vanishing beta functions   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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The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc