Recursive Graphical Construction of Tadpole-Free Feynman Diagrams and Their Weights in phi^4-Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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The article is a contribution to the book "Fluctuating Paths and Fields - Dedicated to Hagen Kleinert on the Occasion of His 6

Scientific paper

We review different approaches to the graphical generation of the
tadpole-free Feynman diagrams of the self-energy and the one-particle
irreducible four-point function. These are needed for calculating the critical
exponents of the euclidean multicomponent scalar phi^4-theory with
renormalization techniques in d=4-epsilon dimensions.

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