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

Axel Pelster and Konstantin Glaum

Physica A: Statistical Mechanics and its Applications, 2004, vol. 335, issue 3, 455-486

Abstract: Using functional derivatives with respect to the free correlation function we derive a closed set of Schwinger–Dyson equations in φ4-theory. Its conversion to graphical recursion relations allows us to systematically generate all connected and one-particle irreducible Feynman diagrams for the two- and four-point function together with their weights.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:335:y:2004:i:3:p:455-486

DOI: 10.1016/j.physa.2003.12.028

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