Field theory and KAM tori
| dc.creator | Gallavotti, G. | |
| dc.creator | Gentile, G. | |
| dc.creator | Mastropietro, V. | |
| dc.date | 1993-03-20 | |
| dc.date.accessioned | 2026-07-07T10:08:12Z | |
| dc.date.available | 2026-07-07T10:08:12Z | |
| dc.description | 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.} | |
| dc.description | 11 pages, compile with dvips to get the figure | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9503006 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9503006 | |
| dc.identifier | Mathematical Physics Electronic Journal, MPEJ, 1, 1995 (http://www.ma.utexas.edu/mpej) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170914 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Field theory and KAM tori | |
| dc.type | text |