Abstract
It has been conjectured that uniaxial ferromagnets (or ferroelectrics) with strong dipolar forces should behave in $d$ dimensions as the corresponding system with short-range interactions in $d+1$ dimensions. It is shown here that this correspondence is not valid. The general theory is outlined and calculations are carried out explicitly up to two-loop order. Corrections to the Larkin-Khmel'nitskii result are derived. They differ from what one would obtain for a four-dimensional short-range system.
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