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arXiv · 0903.2193

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

Christian S. Fischer·Jan M. Pawlowski
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Abstract

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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Christian S. Fischer, Jan M. Pawlowski. 2009-03-12. Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II. https://doi.org/10.1103/physrevd.80.025023

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