### 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.

Original language | English |
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Pages (from-to) | 188-192 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 676 |

Issue number | 4-5 |

DOIs | |

Publication status | Published - Jun 8 2009 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Balog, J., Niedermayer, F., & Weisz, P. (2009). Logarithmic corrections to O (a

^{2}) lattice artifacts.*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,*676*(4-5), 188-192. https://doi.org/10.1016/j.physletb.2009.04.082