# Reply to "Comment on 'Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects' "

## TL;DR

This paper reanalyzes lattice QCD data on gluon and ghost propagators, confirming the effectiveness of a calibration procedure but highlighting the need for improved lattice spacing determination for conclusive results.

## Contribution

It proposes a simple method for relative calibration of lattice spacings and clarifies the limitations of current procedures in simultaneous analysis of gluon and ghost propagators.

## Key findings

- Calibration procedure works well for individual propagators
- Deviations in data follow opposite patterns for gluon and ghost
- Improved lattice spacing determination is necessary for definitive conclusions

## Abstract

The quenched gluon and ghost propagator data published in [1] is reanalysed following the suggestion of [2] to resolve the differences between the infrared data of the simulations. Our results confirms that the procedure works well either for the gluon or for the ghost propagator but not for both propagators simultaneously as the observed deviations in the data follow opposite patterns. Definitive conclusions require improving the determination of the (ratios) of lattice spacings. A simple procedure for the relative calibration of the lattice spacing in lattice simulations is suggested.