Logarithmic corrections to O (a2) lattice artifacts

Janos Balog, Ferenc Niedermayer, Peter Weisz

Research output: Contribution to journalArticle

14 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, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume676
Issue number4-5
DOIs
Publication statusPublished - Jun 8 2009

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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