the criterion given in eqn. \[eqn\_lK\_scale\]. For example, from our scaling relations we would expect to need an $L
\simeq 46$ lattice at $\beta=2.6$ and an $L \simeq 70$ lattice at $\beta=2.7$ in order to resolve our simple monopole picture, if it still holds at these values of $\beta$. This contrasts with the $L=12$ and $L=20$ lattices actually employed in [@grady98]. So it appears to us that while the claims in [@grady98] are certainly interesting, further calculations on much larger lattices are required.

Our work suggests a somewhat different form of the breakdown to the one above. We see from eqn. \[eqn\_coeff\_spec\] that the ratio of the (total) monopole current residing in the physically irrelevant, smaller clusters to that residing in the large percolating cluster, increases rapidly as $a\to 0$ as $1/\sqrt{K}^{3-\zeta} \propto 1/a^{3-\zeta}$. This suggests that as $a\to 0$ a calculation of Wilson loops will become increasingly dominated by the fluctuating contribution of the unphysical monopoles that are ever denser on physical length scales, and that this will eventually prevent us from extracting a potential or string tension. That is to say: calculations in the maximally Abelian gauge will eventually acquire a similar problem to that which typically afflicts 