Phase diagrams of the multitrace quartic matrix models of noncommutative [Phi] super(4) theory

We report a direct and robust calculation, free from ergodic problems, of the nonuniform-to-uniform (stripe) transition line of noncommutative (ProQuest: Formulae and/or non-USASCII text omitted) by means of an exact Metropolis algorithm applied to the first nontrivial multitrace correction of this theory on the fuzzy sphere. In fact, we reconstruct the entire phase diagram including the Ising, matrix, and stripe boundaries together with the triple point. We also report that the measured critical exponents of the Ising transition line agrees with the Onsager values in two dimensions. The triple point is identified as a termination point of the one-cut-to-two-cut transition line and is located at (b, c) = (-1.55,0.4), which compares favorably with a previous Monte Carlo estimate.