2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51258Field theory on a fuzzy noncommutative sphere can be considered as a particular matrix approximation of field theory on the standard commutative sphere. We investigate from this point of view the scalar $ϕ^4$ theory. We demonstrate that the UV/IR mixing problems of this theory are localized to the tadpole diagrams and can be removed by an appropiate (fuzzy) normal ordering of the $ϕ^4$ vertex. The perturbative expansion of this theory reduces in the commutative limit to that on the commutative sphere.6 pages, LaTeX2e, Talk given at the NATO Advanced Research Workshop on Confiment, Topology, and other Non-Perturbative Aspects of QCD, Stara Lesna, Slovakia, Jan. 21-27, 2002High Energy Physics - Theorytext