can be found in the appendices.

QCD with the Functional RG {#sec:setup}
==========================

In quenched QCD there are no matter contributions to the gluon/ghost correlation functions, since these contributions involve only diagrams with closed quark loops. Therefore, all gluon/ghost correlation functions are given by those of the pure Yang-Mills theory. Consequently, we use the functional renormalisation group (FRG) results for Yang-Mills gluon and ghost propagators, [@Fischer:2008uz; @FP] in our calculation.

We perform a vertex expansion including a fully momentum-dependent quark propagator and quark-gluon vertex as well as dynamically generated four-fermi interactions in the matter sector and ghost-gluon and three-gluon vertices in the glue sector. Furthermore we use gauge invariance in the form of mSTIs to include higher quark-gluon interactions as well as the four-gluon vertex. Mesonic interactions are included via the mechanism of dynamical hadronisation, an RG-scale dependent change of variables which constitutes an economic way to take resonant structures in four-fermi interaction channels into account. In the following two subsections we give a brief account of the FRG approach and our truncation scheme. A more complete description of the truncation and a discussion of its stability is found in Apps. \[app:truncation\] and \[app:results\_stab\].

Dynamical hadronisation in the functional renormalisation 