KAM Theorem and Quantum Field Theory
/ Authors
/ Abstract
W e give a new proofofthe K A M theorem foranalytic H am iltonians. The proofis inspired by a quantum (cid:12)eld theory form ulation ofthe problem and is based on a renorm alization group argum ent treating the sm alldenom inators inductively scale by scale.Thecrucialcancellationsofresonancesareshown to follow from theW ard identities expressing the translation invariance ofthe corresponding (cid:12)eld theory.