Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II

We present a shortened and simplified version of our proof \cite{Fischer:2006vf} of the uniqueness of the scaling solution for the infrared asymptotics of Green functions in Landau gauge Yang-Mills theory. The simplification relates to a new RG-invariant arrangement of Green functions applicable to...

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Bibliographic Details
Main Authors: Fischer, Christian S. (Author) , Pawlowski, Jan M. (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 2009
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/0903.2193
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Author Notes:Christian S. Fischer and Jan M. Pawlowski
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Summary:We present a shortened and simplified version of our proof \cite{Fischer:2006vf} of the uniqueness of the scaling solution for the infrared asymptotics of Green functions in Landau gauge Yang-Mills theory. The simplification relates to a new RG-invariant arrangement of Green functions applicable to general theories. As before the proof relies on the necessary consistency between Dyson-Schwinger equations (DSEs) and functional renormalisation group equations (FRGs). We also demonstrate the existence of a specific scaling solution for both, DSEs and FRGs, that displays uniform and soft kinematic singularities.
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