The cut-off effects of the lattice gradient flow -- often called Wilson flow -- are calculated on a periodic 4-torus at leading order in the gauge coupling. A large class of discretizations is considered which includes all frequently used cases in practice. It is shown how the results lead to a smoother continuum extrapolation for the beta-function of SU(3) gauge theory with N_f = 4 flavors of fermions.
@article{arxiv.1410.8801,
title = {The lattice gradient flow at tree level},
author = {Zoltan Fodor and Kieran Holland and Julius Kuti and Santanu Mondal and Daniel Nogradi and Chik Him Wong},
journal= {arXiv preprint arXiv:1410.8801},
year = {2014}
}
Comments
7 pages, 11 figures, Contribution to the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, Columbia University, New York, NY, USA