2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107241The 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.6 pages, 4 figures, Proceedings for the XXIIIrd International Symposium on Lattice Field TheoryHigh Energy Physics - LatticeSimulating the scalar field on the fuzzy spheretext