Abstract
This is the short review of Monte-Carlo studies of quark confinement in lattice QCD. After abelian projections both in the maximally abelian and Polyakov gauges, it is seen that the monopole part alone is responsible for confinement. A block spin transformation on the dual lattice suggests that lattice QCD is always ( for all ) in the monopole condensed phase and so in the confinement phase in the infinite volume limit.
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