Abstract
In a weak-coupling expansion, the Creutz ratio is calculated on relatively large lattices up to O(${g}^{4}$) for improved actions. A universality in size dependence of the Creutz ratio is found among lattice actions. By extrapolating the results on finite lattices to an infinite lattice, the artifacts are studied, and the minimum size of Creutz ratios for which the artifact becomes less than 10% is determined. The scale transformation and universality between lattice actions on finite lattices are studied.
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