arXiv:1410.8801·v1·High Energy Physics — Lattice
The lattice gradient flow at tree level
Zoltan Fodor🇩🇪 · Kieran Holland🇺🇸 · Julius Kuti🇺🇸 · Santanu Mondal🇭🇺 · Daniel Nogradi🇭🇺 · Chik Him Wong🇺🇸
Abstract
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.
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