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Logarithmic corrections to [formula omitted]lattice artifacts

Authors
Journal
Physics Letters B
0370-2693
Publisher
Elsevier
Publication Date
Volume
676
Identifiers
DOI: 10.1016/j.physletb.2009.04.082
Keywords
  • Theory

Abstract

Abstract We compute logarithmic corrections to the O ( a 2 ) lattice artifacts for a class of lattice actions for the non-linear O ( n ) sigma-model in two dimensions. The generic leading artifacts are of the form a 2 [ ln ( a 2 ) ] n / ( n − 2 ) . We also compute the next-to-leading corrections and show that for the case n = 3 the resulting expressions describe well the lattice artifacts in the step scaling function, which are in a large range of the cutoff apparently of the form O ( a ) . An analogous computation should, if technically possible, accompany any precision measurements in lattice QCD.

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