%0 Journal Article
%T Recursive Graphical Construction for Feynman Diagrams of Quantum Electrodynamics
%A M. Bachmann
%A H. Kleinert
%A A. Pelster
%J Physics
%D 1999
%I arXiv
%R 10.1103/PhysRevD.61.085017
%X We present a method for a recursive graphical construction of Feynman diagrams with their correct multiplicities in quantum electrodynamics. The method is first applied to find all diagrams contributing to the vacuum energy from which all n-point functions are derived by functional differentiation with respect to electron and photon propagators, and to the interaction. Basis for our construction is a functional differential equation obeyed by the vacuum energy when considered as a functional of the free propagators and the interaction. Our method does not employ external sources in contrast to traditional approaches.
%U http://arxiv.org/abs/hep-th/9907044v3