# Improving the continuum limit of gradient flow step scaling

@article{Cheng2014ImprovingTC, title={Improving the continuum limit of gradient flow step scaling}, author={A. D. Y. Cheng and Anna Hasenfratz and Yuzhi Liu and Gregory Petropoulos and David Schaich}, journal={Journal of High Energy Physics}, year={2014}, volume={2014}, pages={1-13} }

A bstractWe introduce a non-perturbative improvement for the renormalization group step scaling function based on the gradient flow running coupling, which may be applied to any lattice gauge theory of interest. Considering first SU(3) gauge theory with Nf = 4 massless staggered fermions, we demonstrate that this improvement can remove $ \mathcal{O}\left( {{a^2}} \right) $ lattice artifacts, and thereby increases our control over the continuum extrapolation. Turning to the 12-flavor system, we…

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