Large N Structure of the IIB Matrix Model

We study large N behavior of the IIB matrix model using the equivalence between the IIB matrix model for finite N and a field theory on a non-commutative periodic lattice with N ×N sites. We find that the large N dependences of correlation functions can be obtained by naively counting the number of fields in the field theory on a non-commutative periodic lattice. Furthermore, the large N scaling behavior of the coupling constant g is determined if we require that the expectation values of Wilson loops be calculable.