  Recent numerical results on classical dimers with weak aligning interactions
have been theoretically justified via a Coulomb Gas representation of the
height random variable. Here we propose a completely different representation,
the Interacting Fermions Picture, which avoids some difficulties of the Coulomb
Gas approach and provides a better account of the numerical findings. Besides,
we observe that Peierls' argument explains the behavior of the system in the
strong interaction case.
