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Conformal Methods for Massless Feynman Integrals and Large NfMethods

  • John A. Gracey
Chapter
Part of the Texts & Monographs in Symbolic Computation book series (TEXTSMONOGR)

Abstract

We review the large N method of calculating high order information on the renormalization group functions in a quantum field theory which is based on conformal integration methods. As an example these techniques are applied to a typical graph contributing to the β-function of O(N) ϕ4 theory at O(1∕N 2). The possible future directions for the large N methods are discussed in light of the development of more recent techniques such as the Laporta algorithm.

Notes

Acknowledgements

It is with pleasure that I thank the organizers of the meeting for permission to include this article in these proceedings. It is based on a talk presented at Quantum Field Theory, Periods and Polylogarithms III, Humboldt University, Berlin in June 2012 which was also in honour of Dr D.J. Broadhurst’s 65th birthday. The Axodraw package, [24], was used to draw the figures in the article.

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Copyright information

© Springer-Verlag Wien 2013

Authors and Affiliations

  1. 1.Theoretical Physics Division, Department of Mathematical SciencesUniversity of LiverpoolLiverpoolUK

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