Dynamical properties of large N reduced model of Yang-Mills theory

We study the large N reduced model of D-dimensional Yang-Mills theory with special attention to the dynamical aspects related to the eigenvalues of the N x N matrices, which correspond to the space-time coordinates in the IIB matrix model. We define a quantity which represents the uncertainty of the space-time coordinates and show that it is of the same order as the extent of the space time, which means that the classical space-time picture is maximally broken. The absence of the SSB of the Lorentz invariance is also shown