15: Systematic Graphical Construction of Feynman Diagrams and Their Multiplicities
The following sections are included:
Generalized Scalar ϕ4-Theory
Basic Graphical Operations
Cutting Lines
Removing Lines
Perturbation Theory for Vacuum Energy
Functional Differential Equation for Free Energy in Scalar Theory
Recursion Relation and Graphical Solution in Scalar Theory
Scalar Yukawa-like Theory
Perturbation Theory for the Yukawa-like Theory
Functional Differential Equation for the Free Energy in Yukawa-like Theory
Recursion Relation and Graphical Solution in the Yukawa-like Theory
Matrix Representation of Diagrams
Practical Generation
Connected Vacuum Diagrams
Two- and Four-Point Functions from Cutting Lines
Two- and Four-Point Function from Removing Lines
Appendix 15A Tables
Notes and References