Autori: Federico Bonetto, Giovanni Gallavotti, Guido Gentile,
Vieri Mastropietro
Titolo: Lindstedt series, ultraviolet divergences and Moser's
theorem
Moser's invariant tori for a class of nonanalytic quasi
integrable even hamiltonian systems are shown to be
analytic in the perturbation parameter. We do so by
exhibiting a summation rule for the divergent series
(``Lindstedt series") that formally define them. We find
additional cancellations taking place in the formal series,
besides the ones already known and necessary in the analytic
case (ie to prove convergence of Lindtsedt algorithm for
Kolmogorov's invariant tori). The method is interpreted in
terms of a non renormalizable quantum field theory,
considerably more singular than the one we pointed out in the
analytic case.
Ref: MF95-8, mp_arc@math.utexas.edu #95-506,
chao-dyn@xyz.lanl.gov #9511009
posta-e : bonetto@ipparco.roma1.infn.it
giovanni@ipparco.roma1.infn.it
gentileg@ipparco.roma1.infn.it
vieri@ipparco.roma1.infn.it