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hep-lat2009★ 53 cited
The puzzle of apparent linear lattice artifacts in the 2d non-linear sigma-model and Symanzik's solution
Janos Balog, Ferenc Niedermayer, Peter Weisz
Lattice artifacts in the 2d O(n) non-linear sigma-model are expected to be of the form O(a^2), and hence it was (when first observed) disturbing that some quantities in the O(3) mo…
hep-lat2009★ 37 cited
Logarithmic corrections to O(a^2) lattice artifacts
Janos Balog, Ferenc Niedermayer, Peter Weisz
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 artifac…