The static quark potential from a multilevel algorithm for the improved gauge action

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.

26 pages, 10 figures. V2: Restructured subsection 2.2, added references, version published in JHEP

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