physically the most interesting. It percolates the whole lattice volume and its length $l_{\max}$ is simply proportional to the volume $L^4$ (at least in the interval $2.3 \le \beta \le 2.5$) when these are re-expressed in physical units, [*i.e.*]{} $l_{\max}\sqrt{K} \propto (L\sqrt{K})^4$, where $K$ is the SU(2) lattice string tension in lattice units and we use $1/\sqrt{K}$ to set our physical length scale. We remark that over this range in $\beta$ there is a factor 2 change in the lattice spacing, and so one might have expected that the extra ultraviolet fluctuations on the finer lattice would lead to significant violations of the naïve scaling relation. That is to say, one might expect to need to coarse grain the currents at larger $\beta$ to obtain reasonable scaling. That this is not required is perhaps surprising.

The remaining clusters were found to be much shorter. Their population as a function of length (the ‘length spectrum’) is described by a power law N(l) = , \[eqn\_len\_spec\] where $\gamma \approx 3$ for all lattice spacings and sizes tested and the coefficient $c_l(\beta)$ is proportional to the lattice volume, $L^4$, and depends weakly on $\beta$. The radius of gyration of these clusters is small 