Perturbation theory via Feynman diagrams in classical mechanics

TL;DR

This paper demonstrates how Feynman diagrams, traditionally used in quantum field theory, can be adapted for classical mechanics through the use of path integrals and generating functionals, offering a new perturbation approach.

Contribution

It introduces a novel application of Feynman diagrams in classical mechanics by incorporating path integrals and generating functionals for perturbation analysis.

Findings

Feynman diagrams can be effectively used in classical mechanics.

Path integrals and generating functionals are key to this approach.

The method provides a new perspective on classical perturbation theory.

Abstract

In this paper we show how Feynman diagrams, which are used as a tool to implement perturbation theory in quantum field theory, can be very useful also in classical mechanics, provided we introduce also at the classical level concepts like path integrals and generating functionals.