Comment on “Lattice gluon and ghost propagators and the strong coupling in pure $SU(3)$ Yang-Mills theory: Finite lattice spacing and volume effects”

The authors of [Phys. Rev. D 94, 014502 (2016)] reported about a careful analysis of the impact of lattice artifacts on the $SU(3)$ gauge-field propagators. In particular, they found that the low-momentum behavior of the renormalized propagators depends on the lattice bare coupling and interpreted this as the result of its being affected by discretization artifacts. We discuss here a different interpretation for these results.

Figure 1

Upper panel.- Lattice gluon propagator results for the set-ups given in Table 1. Lower panel.- The same gluon propagator results after applying to the data at $\beta =5.8$ the “recalibration” described in the text through Eqs. (2.4), (2.5), with $\delta =-0.05$ for the deviation parameter.