  In this paper we analyze perturbatively a g phi^4 classical field theory with
and without temperature. In order to do that, we make use of a path-integral
approach developed some time ago for classical theories. It turns out that the
diagrams appearing at the classical level are many more than at the quantum
level due to the presence of extra auxiliary fields in the classical formalism.
We shall show that several of those diagrams cancel against each other due to a
universal supersymmetry present in the classical path integral mentioned above.
The same supersymmetry allows the introduction of super-fields and
super-diagrams which considerably simplify the calculations and make the
classical perturbative calculations almost "identical" formally to the quantum
ones. Using the super-diagrams technique we develop the classical perturbation
theory up to third order. We conclude the paper with a perturbative check of
the fluctuation-dissipation theorem.
