Effective Action for the Scalar Field Theory with Higher Vertices
arXiv:hep-th/0609178 · doi:10.1103/PhysRevD.74.067702
Abstract
We derive a new kind of recursion relation to obtain the one-particle-irreducible (1PI) Feynman diagrams for the effective action. By using this method, we have obtained the graphical representation of the four-loop effective action in case of the general bosonic field theory which have vertices higher than the four-point vertex.
References in corpus (11)
- Generating Feynman Diagrams and Amplitudes with FeynArts 3
- n-Particle irreducible effective action techniques for gauge theories
- Recursive Graphical Construction of Feynman Diagrams and Their Multiplicities in phi^4- and in phi^2A-Theory
- Study of Tau-pair Production in Photon-Photon Collisions at LEP and Limits on the Anomalous Electromagnetic Moments of the Tau Lepton
- A simple way to generate high order vacuum graphs
- Recursive Graphical Construction for Feynman Diagrams of Quantum Electrodynamics
- Recursive Graphical Construction of Feynman Diagrams in phi^4 Theory: Asymmetric Case and Effective Energy
- Functional Closure of Schwinger-Dyson Equations in Quantum Electrodynamics, Part 1: 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
- Functional Differential Equations for the Free Energy and the Effective Energy in the Broken-Symmetry Phase of phi^4-Theory and Their Recursive Graphical Solution
- Recursive Graphical Construction for Feynman Diagrams and Their Weights in Ginzburg-Landau Theory