Scale setting in lattice QCD

Abstract

The principles of scale setting in lattice QCD as well as the advantages and disadvantages of various commonly used scales are discussed. After listing criteria for good scales, I concentrate on the main presently used ones with an emphasis on scales derived from the Yang-Mills gradient flow. For these I discuss discretisation errors, statistical precision and mass effects. A short review on numerical results also brings me to an unpleasant disagreement which remains to be explained.

18 pages, talk at Lattice 2013

References in corpus (14)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• High-precision scale setting in lattice QCD
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• Update: Precision D_s decay constant from full lattice QCD using very fine lattices
• Nucleon mass and sigma term from lattice QCD with two light fermion flavors
• Chiral perturbation theory for gradient flow observables
• Chiral logs in twisted mass lattice QCD with large isospin breaking
• On the $N_f$-dependence of gluonic observables
• A high-statistics study of the nucleon EM form factors, axial charge and quark momentum fraction
• SU(3) flavour symmetry breaking and charmed states
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• SU(3) flavour breaking and baryon structure
• Vector correlator and scale determination in lattice QCD

Cited by in corpus (11)

• Axion phenomenology and $\theta$-dependence from $N_f=2+1$ lattice QCD
• The lattice gradient flow at tree-level and its improvement
• First Physics Results at the Physical Pion Mass from $N_f=2$ Wilson Twisted Mass Fermions at Maximal Twist
• Wilson flow and scale setting from lattice QCD
• Uncertainty Quantification in Lattice QCD Calculations for Nuclear Physics
• Influence of topology on the scale setting
• On O($a^2$) effects in gradient flow observables
• On the $N_f$-dependence of gluonic observables
• The running coupling of 8 flavors and 3 colors
• Looking at the deconfinement transition using Wilson flow
• On the first-principles determination of the Standard Model fundamental parameters in the quark sector