English

Non RG logarithms via RG equations

High Energy Physics - Theory 2007-05-23 v1

Abstract

We compute complete leading logarithms in Φ4\Phi^4 theory with the help of Connes and Kreimer RG equations. These equations are defined in the Lie algebra dual to the Hopf algebra of graphs. The results are compared with calculations in parquet approximation. An interpretation of the new RG equations is discussed.

Cite

@article{arxiv.hep-th/0402074,
  title  = {Non RG logarithms via RG equations},
  author = {Dmitry Malyshev},
  journal= {arXiv preprint arXiv:hep-th/0402074},
  year   = {2007}
}

Comments

12 pages, 2 figures, LaTeX

R2 v1 2026-07-22T15:21:49.044Z