Scale setting in lattice QCD

2014/01/14 by Rainer Sommer, Sommer, Rainer · 2 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat

paper · pdf · doi:10.48550/arxiv.1401.3270

18 pages, talk at Lattice 2013

arxiv created 2014/01/14 · arxiv updated 2014/01/15

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.

Cited by

• The large-N limit of the topological susceptibility of SU(N) Yang-Mills theories via Parallel Tempering on Boundary Conditions
• Renormalon effect of quasi-PDF in gradient flow formalism

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