Topology change from quantum instability of gauge theory on fuzzy CP2 Original Research Article

Many gauge theory models on fuzzy complex projective spaces will contain a strong instability in the quantum field theory leading to topology change. This can be thought of as due to the interaction between space–time via its noncommutativity and the fields (matrices) and it is related to the perturbative UV–IR mixing. We work out in detail the example of fuzzy image and discuss at the level of the phase diagram the quantum transitions between the 3 spaces (space–times) image, image and the 0-dimensional space consisting of a single point image.