  We report on an exhaustive investigation of the dynamical dimer-dimer
correlations in imaginary time for the quantum dimer model on the triangular
lattice using the Green's function Monte Carlo method. We show in particular
that soft modes develop upon reducing the dimer-dimer repulsion, indicating the
presence of a second-order phase transition into an ordered phase with broken
translational symmetry. We further investigate the nature of this ordered
phase, for which a 12-site unit cell has been previously proposed, with the
surprising result that significant Bragg peaks are only present at two of the
three high-symmetry points consistent with this unit cell. We attribute the
absence of a detectable peak to its small magnitude due to the nearly uniform
internal structure of the 12-site crystal cell.
