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Using Monte Carlo simulations with overrelaxation, we have equilibratedlattices up to $\beta=2.928$, size $60^4$, for pure SU(2) lattice gauge theorywith the Wilson action. We calculate topological charges with the standardcooling method and find that they become more reliable with increasing $\beta$values and lattice sizes. Continuum limit estimates of the topologicalsusceptibility $\chi$ are obtained of which we favor$\chi^{1/4}/T_c=0.643\,(12)$, where $T_c$ is the SU(2) deconfinementtemperature. Differences between cooling length scales in different topologicalsectors turn out to be too small to be detectable within our statisticalerrors.

Topological charge and cooling scales in pure SU(2) lattice gauge theory