Abstract

The ALPHA Collaboration has determined the $O\left(a\right)$ improved Wilson quark action for lattice spacings $a\ensuremath{\le}0.1$ fm, in the quenched approximation. We extend this result to coarser lattices, $a\ensuremath{\le}0.17\mathrm{fm}$, and calculate the hadron spectrum on them. The large range of lattice spacings obtained by combining our results with earlier ones on finer lattices allows us to present a convincing demonstration of the efficiency of nonperturbative $O\left(a\right)$ improvement. We find that scaling violations of the hadron masses studied drop from 30%--40% for the unimproved Wilson action on the coarsest lattice to only 2%--3%.

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