KAM theorem and quantum field theory

被引：34

作者：

Bricmont, J

Gawedzki, K

Kupiainen, A

机构：

[1] Univ Catholique Louvain, FYMA, B-1348 Louvain, Belgium

[2] CNRS, IHES, F-91440 Bures Sur Yvette, France

[3] Univ Helsinki, Dept Math, Helsinki 00014, Finland

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1999年 / 201卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s002200050573

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：699 / 727

页数：29

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[Anonymous], 1996, MATH PHYS ELECT J

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