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

✍ Scribed by Axel Pelster; Hagen Kleinert; Michael Bachmann

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 322 KB
• Volume: 297
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.2002.6227

✦ Synopsis

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 diagrams for the n-point functions and the vacuum energy together with their correct weights.