 98517 Bricmont J., Gawedzki K., Kupiainen A.
 KAM Theorem and Quantum Field Theory
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Jul 21, 98

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Abstract. We give a new proof of the KAM theorem for analytic Hamiltonians.
The proof is inspired by a quantum field theory
formulation of the problem and is based on a renormalization group
argument treating the small denominators inductively scale by scale.
The crucial cancellations of resonances are shown to follow from
the Ward identities expressing the translation invariance
of the corresponding field theory.
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