  We study analytically the Ising model coupled to random lattices in dimension
three and higher. The family of random lattices we use is generated by the
large N limit of a colored tensor model generalizing the two-matrix model for
Ising spins on random surfaces. We show that, in the continuum limit, the spin
system does not exhibit a phase transition at finite temperature, in agreement
with numerical investigations. Furthermore we outline a general method to study
critical behavior in colored tensor models.
