Renormalization flow of Yang-Mills propagators

Details Renormalization flow of Yang-Mills propagators Renormalization flow of Yang-Mills propagators

2004-08-06

arxiv.org/abs/hep-ph/0408089v2

JHEP0410:048,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, 5 figures. V2: Typos corrected and reference added

Scientific paper

10.1088/1126-6708/2004/10/048

We study Landau-gauge Yang-Mills theory by means of a nonperturbative vertex expansion of the quantum effective action. Using an exact renormalization group equation, we compute the fully dressed gluon and ghost propagators to lowest nontrivial order in the vertex expansion. In the mid-momentum regime, $p^2\sim\mathcal{O}(1)\text{GeV}^2$, we probe the propagator flow with various {\em ans\"atze} for the three- and four-point correlations. We analyze the potential of these truncation schemes to generate a nonperturbative scale. We find universal infrared behavior of the propagators, if the gluon dressing function has developed a mass-like structure at mid-momentum. The resulting power laws in the infrared support the Kugo-Ojima confinement scenario.

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