Comments on the large N matrix model

In the matrix model approach to M/string theory, a general prescription of the large N limit is still elusive. To gain insights into the scaling limit , Re study the quantum fluctuations around a given diagonal background of t he large N matrix model in the weakly coupled regime. The perturbative expa nsion in matrix theory is explicitly shown to be identical to the Feynman a mplitudes of gauge theory, provided that the D instanton configuration spac e is interpreted as (discretized) loop momentum space. This enables us to s tudy how the structure of large N divergence is related to the ordinary UV/ IR divergences in QFT. Various bounds on the scaling exponents are also dis cussed.