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          Institute: MPI für Physik     Collection: MPI für Physik     Display Documents



ID: 544968.0, MPI für Physik / MPI für Physik
Logarithmic corrections to O($a^2$) lattice artifacts
Authors:Balog, J.; Niedermayer, F.; Weisz, P.
Date of Publication (YYYY-MM-DD):2009
Title of Journal:Physics Letters B
Journal Abbrev.:Phys.Lett.B
Issue / Number:676
Start Page:188
End Page:192
Audience:Not Specified
Intended Educational Use:No
Abstract / Description: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.
Classification / Thesaurus:Theoretical Physics
Comment of the Author/Creator:13 pages, 3 figures
External Publication Status:published
Document Type:Article
Communicated by:N.N.
Affiliations:MPI für Physik
Identifiers:LOCALID:MPP-2009-10
URL:http://www.slac.stanford.edu/spires/find/hep/www?r...
URL:http://arXiv.org/abs/arxiv:0901.4033
URL:http://publications.mppmu.mpg.de/?action=search&mp...
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