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We solve a multitrace matrix model approximating the real quartic scalarfield theory on the fuzzy sphere and obtain its phase diagram. We generalizethis method to models with modified kinetic terms and demonstrate its use byinvestigating models related to the removal of the UV/IR mixing. We show thatfor the fuzzy sphere a modification of the kinetic part of the action by higherderivative term can change the phase diagram of the theory such that the triplepoint moves further from the origin.

Second moment fuzzy-field-theory-like matrix models