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Logarithmic corrections to O(a^2) lattice artifacts

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arxiv 0901.4033 v1 pith:3LPAZIP2 submitted 2009-01-26 hep-lat

Janos Balog , Ferenc Niedermayer , Peter Weisz This is my paper · ORCID
classification hep-lat
keywords latticeartifactscorrectionscomputeformlogarithmicaccompanyactions
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. Logarithmic corrections to O($a^2$) effects in lattice QCD with unrooted Staggered quarks

    hep-lat 2025-01 conditional novelty 7.0 of 10

    Spectral lattice artifacts for unrooted staggered quarks scale as a^2 [2 b0 gbar^2(1/a)]^gamma, with the smallest exponents near -0.3 for N_f=0,4 and near -0.9 and -2.6 for N_f=8,12.

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