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

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

2009-03-12

arxiv.org/abs/0903.2193v1

Phys.Rev.D80:025023,2009

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 10 figures

Scientific paper

10.1103/PhysRevD.80.025023

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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