Renormalization flow of Yang-Mills propagators
Author(s) -
Christian S. Fischer,
Holger Gies
Publication year - 2004
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2004/10/048
Subject(s) - propagator , physics , gluon , mathematical physics , renormalization , vertex (graph theory) , infrared fixed point , renormalization group , momentum (technical analysis) , vertex function , flow (mathematics) , quantum electrodynamics , quantum mechanics , quantum chromodynamics , mathematics , graph , finance , discrete mathematics , economics , mechanics
We study Landau-gauge Yang-Mills theory by means of a nonperturbative vertexexpansion of the quantum effective action. Using an exact renormalization groupequation, we compute the fully dressed gluon and ghost propagators to lowestnontrivial 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 thepotential of these truncation schemes to generate a nonperturbative scale. Wefind universal infrared behavior of the propagators, if the gluon dressingfunction has developed a mass-like structure at mid-momentum. The resultingpower laws in the infrared support the Kugo-Ojima confinement scenario.Comment: 28 pages, 5 figures. V2: Typos corrected and reference adde
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