Logarithmic corrections to O(a^2) lattice artifacts

Details Logarithmic corrections to O(a^2) lattice artifacts Logarithmic corrections to O(a^2) lattice artifacts

2009-01-26

arxiv.org/abs/0901.4033v1

Phys.Lett.B676:188-192,2009

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 3 figures

Scientific paper

10.1016/j.physletb.2009.04.082

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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