Logarithmic corrections to O (a2) lattice artifacts

J. Balog, Ferenc Niedermayer, Peter Weisz

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)188-192
Number of pages5
JournalPhysics Letters B
Volume676
Issue number4-5
DOIs
Publication statusPublished - Jun 8 2009

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artifacts
cut-off
quantum chromodynamics
scaling

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Logarithmic corrections to O (a2) lattice artifacts. / Balog, J.; Niedermayer, Ferenc; Weisz, Peter.

In: Physics Letters B, Vol. 676, No. 4-5, 08.06.2009, p. 188-192.

Research output: Contribution to journalArticle

Balog, J. ; Niedermayer, Ferenc ; Weisz, Peter. / Logarithmic corrections to O (a2) lattice artifacts. In: Physics Letters B. 2009 ; Vol. 676, No. 4-5. pp. 188-192.
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