Beyond second-moment approximation in fuzzy-field-theory-like matrix models

We investigate the phase structure of a special class multi-trace hermitian matrix models, which are candidates for description scalar field theory on fuzzy spaces. include up to fourth moment eigenvalue distribution into part probability distribution, stems from kinetic term action. show that by considering different behavior in large and small regimes model, it is possible obtain describes numerically observed theories. Including existence uniform order phase, triple point, an approximately straight transition line between non-uniform phases.