KAM Theorem and Quantum Field Theory

被引：0

作者：

Jean Bricmont

Krzysztof Gawędzki

Antti Kupiainen

机构：

[1] UCL,

[2] FYMA,undefined

[3] 2 chemin du Cyclotron,undefined

[4] B-1348 Louvain-la-Neuve,undefined

[5] Belgium,undefined

[6] CNRS,undefined

[7] IHES,undefined

[8] 35 route de Chartres,undefined

[9] 91440 Bures-sur-Yvette,undefined

[10] France,undefined

[11] Department of Mathematics,undefined

[12] Helsinki University,undefined

[13] P.O. Box 4,undefined

[14] 00014 Helsinki,undefined

[15] Finland,undefined

来源：

Communications in Mathematical Physics | 1999年 / 201卷

关键词：

Field Theory; Quantum Field Theory; Renormalization Group; Theory Formulation; Ward Identity;

D O I：

暂无

中图分类号：

学科分类号：

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：28