  The properties of the phi^4 scalar field theory on a fuzzy sphere are studied
numerically. The fuzzy sphere is a discretization of the sphere through
matrices in which the symmetries of the space are preserved. This model
presents three different phases: uniform and disordered phases, as in the usual
commutative scalar field theory, and a non-uniform ordered phase related to
UV-IR mixing like non-commutative effects. We have determined the coexistence
lines between phases, their triple point and their scaling.
