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.
No takes yet. Share an insight, caveat, or question.
Brézin et al. (1976) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: