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We derive a continuum theory for the phase transition in a classical dimermodel on the cubic lattice, observed in recent Monte Carlo simulations. Ourderivation relies on the mapping from a three-dimensional classical problem toa two-dimensional quantum problem, by which the dimer model is related to amodel of hard-core bosons on the kagome lattice. The dimer-ordering transitionbecomes a superfluid-Mott insulator quantum phase transition at fractionalfilling, described by an SU(2)-invariant continuum theory.

SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model