Matrix varphi4 models on the fuzzy sphere and their continuum limits

We demonstrate that the UV/IR mixing problems found recently for a scalar 4 theory on the fuzzy sphere are localized to tadpole diagrams and can be overcome by a suitable modification of the action. This modification is equivalent to normal ordering the 4 vertex. In the limit of the commutative sphere, the perturbation theory of this modified action matches that of the commutative theory.