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15: Systematic Graphical Construction of Feynman Diagrams and Their Multiplicities

      https://doi.org/10.1142/9789814740913_0015Cited by:0 (Source: Crossref)
      Abstract:

      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