Derivation of the Recursion Relation for the Feynman Diagrams of the CJT effective action

Details Derivation of the Recursion Relation for the Feynman Diagrams of the CJT effective action Derivation of the Recursion Relation for the Feynman Diagrams of the CJT effective action

2007-08-09

arxiv.org/abs/0708.1217v1

J.Korean Phys.Soc.51:1873,2007

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 2 figures

Scientific paper

10.3938/jkps.51.1873

We derive a new recursion relation to obtain the Feynman diagrams of the Cornwall-Jackiw-Toumboulis(CJT) effective action by using the functional derivative identities. By using this recursion relation we show the two-particle-irreducibility of the Feynman diagrams of the CJT effective action by induction. We apply the recursion relation to obtain the Feynman diagrams of the CJT effective action up to the four-loop order in case of the bosonic field theory.

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