Non RG logarithms via RG equations

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, 2 figures, LaTeX

Scientific paper

We compute complete leading logarithms in $\Phi^4$ 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.

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