Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8194647 | Physics Letters B | 2009 | 5 Pages |
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/(nâ2). 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.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
Janos Balog, Ferenc Niedermayer, Peter Weisz,