Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Field theory and KAM tori   The parametric equations of KAM tori for a quasi integrable system, are shown
to be one point Schwinger functions of a suitable euclidean quantum field
theory on the torus. KAM theorem is equivalent to a ultraviolet stability
theorem. A renormalization group treatment of the field theory leads to a
resummation of the formal pertubation series and to an expansion in terms of
new parameters (identified as a family of renormalization constants). The new
parameters are analytic in the coupling (at small coupling): the breakdown of
the tori at large coupling is speculated to be related to the crossing of a
"critical" surface at a value where the renormalization constants are still
finite. A mechanism for the possible universality of the singularities of
parametric equations for the invariant tori, in their parameter dependence as
well as in the coupling dependence, is proposed.}

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The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: econ
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg