Recursive graphical solution of closed Schwinger–Dyson equations in φ4-theory. (I). Generation of connected and one-particle irreducible Feynman diagrams

Functional Closure of Schwinger–Dyson Eq

Functional Closure of Schwinger–Dyson Equations in Quantum Electrodynamics: 1. Generation of Connected and One-Particle Irreducible Feynman Diagrams

✍ Axel Pelster; Hagen Kleinert; Michael Bachmann 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 322 KB

Using functional derivatives with respect to free propagators and interactions we derive a closed set of Schwinger-Dyson equations in quantum electrodynamics. Its conversion to graphical recursion relations allows us to systematically generate all connected and one-particle irreducible Feynman diagr