Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
Christian S. Fischer, Jan M. Pawlowski

TL;DR
This paper establishes the unique infrared behavior of Green functions in Landau gauge Yang-Mills theory by satisfying Dyson-Schwinger and renormalisation group equations, impacting the interpretation of lattice QCD results.
Contribution
It provides a unique determination of infrared asymptotics in Landau gauge Yang-Mills theory through consistency conditions.
Findings
Infrared asymptotics are uniquely fixed by Dyson-Schwinger and renormalisation group equations.
The results clarify the relation between Green function power laws.
Implications for interpreting lattice QCD data are discussed.
Abstract
We uniquely determine the infrared asymptotics of Green functions in Landau gauge Yang-Mills theory. They have to satisfy both, Dyson-Schwinger equations and functional renormalisation group equations. Then, consistency fixes the relation between the infrared power laws of these Green functions. We discuss consequences for the interpretation of recent results from lattice QCD.
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