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arXiv:hep-lat/9608084·v2·High Energy Physics — Lattice

Clustering of Monopoles in the Instanton Vacuum

Masahiro Fukushima(RCNP)🇯🇵 · Shoichi Sasaki(RCNP)🇯🇵 · Hideo Suganuma(RCNP)🇯🇵 · Atsunori Tanaka(RCNP)🇯🇵 · Hiroshi Toki(RCNP)🇯🇵 · Dmitri Diakonov(Petersburg N.P.I.)🇷🇺

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Abstract

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.

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

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