Lindstedt Series, Ultraviolet Divergences and Moser's Theorem
نویسندگان
چکیده
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 deene them. We nd additional cancellations taking place in the formal series, besides the ones already known and necessary in the analytic case (i.e. to prove convergence of Lindtsedt algorithm for Kolmogorov's invariant tori). The method is interpreted in terms of a non renormalizable quantum eld theory, considerably more singular than the one we pointed out in the analytic case.
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