Abstract
We generalize the multilevel algorithm of Luescher and Weisz to study SU(N) Yang-Mills theories with the tree-level improved gauge action. We test this algorithm, comparing its results with those obtained using the Wilson action, in SU(3) and SU(4) Yang-Mills theories in 2+1 and 3+1 dimensions. We measure the static quark potential and extract the Luescher term, predicted by the bosonic string theory.
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