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.
|Number of pages||5|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|Publication status||Published - Jun 8 2009|
ASJC Scopus subject areas
- Nuclear and High Energy Physics