Cooling and the SU(2) instanton vacuum

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Abstract
We present results of an investigation into the nature of instantons in four-dimensional pure gauge lattice SU(2) obtained from configurations which have been cooled using an under-relaxed cooling algorithm. We discuss ways of calibrating the cooling and the effects of different degrees of cooling, and compare our data for the shapes, sizes, and locations of instantons with continuum results. In this paper we extend the ideas and techniques developed by us for use in O(3), and compare the results with those obtained by other groups.