On the Landau Background Gauge Fixing and the IR Properties of YM Green Functions

We analyse the complete algebraic structure of the background field method for Yang–Mills theory in the Landau gauge and show several structural simplifications within this approach. In particular we present a new way to study the IR behavior of Green functions in the Landau gauge and show that there exists a unique Green function whose IR behaviour controls the IR properties of the gluon and the ghost propagators.