Approximate treatment of noncommutative curvature in quartic matrix model

A bstract We study a Hermitian matrix model with the standard quartic potential amended by tr( R Φ 2 ) term for fixed external . This is motivated curvature in truncated Heisenberg algebra formulation of Grosse-Wulkenhaar — renormalizable noncommutative field theory. The extra breaks unitary symmetry action and leads, after perturbative calculation integral, to an effective multitrace model. Accompanying analytical treatment this approximation, we also numerically Monte Carlo simulations. phase structure investigated, modified diagram identified. observe shift transition line between 1-cut 2-cut phases theory that consistent previous numerical simulations removal