might be breaking down as we approach the continuum limit. This question is motivated by the observation that the monopoles are identified by a gauge fixing procedure which involves making the bare SU(2) fields as diagonal as possible. Since the theory is renormalisable, the long distance physics increasingly decouples from the fluctuations of the ultraviolet bare fields as we approach the continuum limit. For example, the ultraviolet contribution to the action density is $O(1/\beta)$ while the long distance contribution is $O(e^{-c\beta})$. Thus as $a\to 0$ the maximally Abelian gauge will be overwhelmingly driven by ultraviolet rather than by physical fluctuations. Moreover at the location of the monopoles the Abelian fields are far from unity and so one would expect the SU(2) fields also to be far from unity. Thus the number of monopoles would seem to be constrained by the probability of finding corresponding clumps of SU(2) fields with large plaquette values. This probability depends on the detailed form of the SU(2) lattice action far from the Gaussian minimum and one could easily choose an action where it is completely suppressed and yet which one would expect to be in the usual universality class. None of the above arguments are 