Canonical perturbation for infinite chain

[andresB]

I've been Dealing with a problem of perturbation of the movement of an infinite chain of harmonic oscillator and I tried to apply the von Zeippel-Poincare formalism of canonical perturbation theory just to see what I get. This was too naive since I quickly stumbled into the problem of defining the averaging of a function when there are infinite angles to average.

So, does anyone know if there is a theory of canonical perturbation theory for systems with infinite degrees of freedom?

 

[Lucas SV]

How about classical field theory? It may be thought as the infinite limit of a classical system with finite degrees of freedom.

 

[andresB]

It might be something Do you know a canonical perturbation theory for classical field theory?