English

Renormalization flow of Yang-Mills propagators

High Energy Physics - Phenomenology 2008-11-26 v2 High Energy Physics - Theory

Abstract

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, p2O(1)GeV2p^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.

Keywords

Cite

@article{arxiv.hep-ph/0408089,
  title  = {Renormalization flow of Yang-Mills propagators},
  author = {Christian S. Fischer and Holger Gies},
  journal= {arXiv preprint arXiv:hep-ph/0408089},
  year   = {2008}
}

Comments

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

R2 v1 2026-07-22T13:56:27.978Z