English

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

High Energy Physics - Theory 2016-11-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0105193,
  title  = {Recursive Graphical Construction of Tadpole-Free Feynman Diagrams and Their Weights in phi^4-Theory},
  author = {Axel Pelster and Konstantin Glaum},
  journal= {arXiv preprint arXiv:hep-th/0105193},
  year   = {2016}
}

Comments

The article is a contribution to the book "Fluctuating Paths and Fields - Dedicated to Hagen Kleinert on the Occasion of His 60th Birthday", Eds. Wolfhard Janke, Axel Pelster, Hans-Juergen Schmidt, and Michael Bachmann (World Scientific, Singapore, 2001), p. 235-246