Recursion Relation for the Feynman Diagrams of the Effective Action for the Third Legendre Transformation

Details Recursion Relation for the Feynman Diagrams of the Effective Action for the Third Legendre Transformation Recursion Relation for the Feynman Diagrams of the Effective Action for the Third Legendre Transformation

2008-07-15

arxiv.org/abs/0807.2305v1

J. Korean Phys. Soc.53:3170, 2008

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

We derive a recursion relation of the Feynman diagrams of the effective action for the third Legendre transformation in case of the bosonic field theory with cubic interaction. We apply the recursion relation to obtain the Feynman diagrams of the effective action for the third Legendre transformation up to the five-loop order. The three-particle irreducibility of the Feynman diagrams of the effective action for the third Legendre transformation is shown by induction.

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