English

Leading RG logs in $\phi^4$ theory

High Energy Physics - Theory 2015-06-26 v2

Abstract

We find the leading RG logs in ϕ4\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 (lns/t)n(\ln s/t)^n, are discussed.

Cite

@article{arxiv.hep-th/0307301,
  title  = {Leading RG logs in $\phi^4$ theory},
  author = {D. V. Malyshev},
  journal= {arXiv preprint arXiv:hep-th/0307301},
  year   = {2015}
}

Comments

24 pages LaTeX, 12 figures

R2 v1 2026-07-22T15:18:29.304Z