2012/03/31 by S. Borsanyi, Szabolcs Borsányi, S. Durr +18 · 2 citations
Mathematics · Physics and Astronomy · #Algorithm #Computation #Fermion #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Statistical physics #Theoretical physics #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1007/jhep09(2012)010
published as JHEP 1209 (2012) 010 · 15 pages, 7 figures, 2 tables; Version published in JHEP
openalex publication_date 2012/09/01 · arxiv created 2012/11/05 · arxiv updated 2012/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract Scale setting is of central importance in lattice QCD. It is required to predict dimensional quantities in physical units. Moreover, it determines the relative lattice spacings of computations performed at different values of the bare coupling, and this is needed for extrapolating results into the continuum. Thus, we calculate a new quantity, w 0 , for setting the scale in lattice QCD, which is based on the Wilson flow like the scale t 0 (M. Luscher, JHEP 08 (2010) 071). It is cheap and straightforward to implement and compute. In particular, it does not involve the delicate fitting of correlation functions at asymptotic times. It typically can be determined on the few per-mil level. We compute its continuum extrapolated value in 2 + 1-flavor QCD for physical and non-physical pion and kaon masses, to allow for mass-independent scale setting even away from the physical mass point. We demonstrate its robustness by computing it with two very different actions (one of them with staggered, the other with Wilson fermions) and by showing that the results agree for physical quark masses in the continuum limit.