Recursive Graphical Solution of Closed Schwinger-Dyson Equations in φ-Theory – Part1: Generation of Connected and One-Particle Irreducible Feynman Diagrams

Recently, it has been shown that the Schwinger-Dyson equations of QED can be closed in a certain functionalanalytic sense [8]. Using functional derivatives with respect to the free propagators and the interaction [8–14] two closed sets of equations were derived. The first one involves the connected electron and two-point function as well as the connected… (More)