Speaker
Description
The approach to the continuum stands as one of the main sources of uncertainty
in lattice studies. Recent investigations revealed complicated functional
forms for the lattice cutoff effects, making continuum extrapolations possibly
very difficult in practice. By using gradient flow scales we study the
continuum scaling of Yang-Mills theories using different lattice gauge actions
at the currently used lattice spacings. We first show how this can be done
using flow observables defined at different scales, and argue that to keep
systematic errors under control the comparison between several lattice actions
is required, together with the use of finer lattices. Moreover, by combining
flow scales with lattice perturbation theory we discuss the difficulty in
controlling the perturbative and scaling corrections in precise determinations
of the $\Lambda$ parameter
