Recursive Graphical Solution of Closed Schwinger-Dyson Equations in phi^4-Theory -- Part1: Generation of Connected and One-Particle Irreducible Feynman Diagrams

Details Recursive Graphical Solution of Closed Schwinger-Dyson Equations in phi^4-Theory -- Part1: Generation of Connected and One-Particle Irreducible Feynman Diagrams Recursive Graphical Solution of Closed Schwinger-Dyson Equations in phi^4-Theory -- Part1: Generation of Connected and One-Particle Irreducible Feynman Diagrams

2003-03-20

arxiv.org/abs/hep-th/0303177v1

Physica A335 (2004) 455-486

Physics

High Energy Physics

High Energy Physics - Theory

Author Information under http://www.physik.fu-berlin.de/~pelster/

Scientific paper

10.1016/j.physa.2003.12.028

Using functional derivatives with respect to the free correlation function we
derive a closed set of Schwinger-Dyson equations in phi^4-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.

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