### 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 |
---|---|

Pages (from-to) | 188-192 |

Number of pages | 5 |

Journal | Physics Letters B |

Volume | 676 |

Issue number | 4-5 |

DOIs | |

Publication status | Published - Jun 8 2009 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

^{2}) lattice artifacts.

*Physics Letters B*,

*676*(4-5), 188-192. https://doi.org/10.1016/j.physletb.2009.04.082

**Logarithmic corrections to O (a ^{2}) lattice artifacts.** / Balog, J.; Niedermayer, Ferenc; Weisz, Peter.

Research output: Contribution to journal › Article

^{2}) lattice artifacts',

*Physics Letters B*, vol. 676, no. 4-5, pp. 188-192. https://doi.org/10.1016/j.physletb.2009.04.082

^{2}) lattice artifacts. Physics Letters B. 2009 Jun 8;676(4-5):188-192. https://doi.org/10.1016/j.physletb.2009.04.082

}

TY - JOUR

T1 - Logarithmic corrections to O (a2) lattice artifacts

AU - Balog, J.

AU - Niedermayer, Ferenc

AU - Weisz, Peter

PY - 2009/6/8

Y1 - 2009/6/8

N2 - We compute logarithmic corrections to the O (a2) 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 a2 [ln (a2)]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.

AB - We compute logarithmic corrections to the O (a2) 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 a2 [ln (a2)]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.

UR - http://www.scopus.com/inward/record.url?scp=65749119252&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=65749119252&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2009.04.082

DO - 10.1016/j.physletb.2009.04.082

M3 - Article

AN - SCOPUS:65749119252

VL - 676

SP - 188

EP - 192

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

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

SN - 0370-2693

IS - 4-5

ER -