Diagrammar In Classical Scalar Field Theory

Understand

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.