Clustering of monopoles in the instanton vacuum

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We generate a random instanton vacuum with various densities and size distributions. We perform numerically the maximally abelian gauge fixing of these configurations in order to find monopole trajectories induced by instantons. We find that instanton-induced monopole loops form enormous clusters occupying the whole physical volume, provided instantons are sufficiently dense. It indicates that confinement might be caused by instantons.

7 pages, Plain Latex, (3 figures - available on request from ssasaki@rcnp.osaka-u.ac.jp)

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