Leading RG logs in $φ^4$ theory

Details Leading RG logs in $φ^4$ theory Leading RG logs in $φ^4$ theory

2003-07-31

arxiv.org/abs/hep-th/0307301v2

Phys.Lett. B578 (2004) 231-234

Physics

High Energy Physics

High Energy Physics - Theory

24 pages LaTeX, 12 figures

Scientific paper

We find the leading RG logs in $\phi^4$ theory for any Feynman diagram with 4
external edges. We obtain the result in two ways. The first way is to calculate
the relevant terms in Feynman integrals. The second way is to use the RG
invariance based on the Lie algebra of graphs introduced by Connes and Kreimer.
The non-RG logs, such as $(\ln s/t)^n$, are discussed.

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