Phase structure of the Goldstone matrix model in the limit of large N

The results of the investigation of the Goldstone null-dimensional and one-dimensional models are presented. Calculations are performed in planar approximation, i.e. in the limit of large N. The planar approximation calculation is reduced to the solution of the stationary equation for hermitian matrix eigenvalues. The conditions under which solutions outside the framework of constant perturbation theory exist are considered