Large N Structure of the IIB Matrix Model

TL;DR

This paper investigates the large N behavior of the IIB matrix model by relating it to a non-commutative lattice field theory, revealing how correlation functions and coupling constants scale with N.

Contribution

It establishes a novel equivalence between the IIB matrix model at finite N and a non-commutative lattice field theory, enabling analysis of large N scaling behaviors.

Findings

Large N correlation functions scale with the number of fields in the lattice theory.

The large N scaling of the coupling constant g is determined under Wilson loop calculability.

Correlation functions can be estimated by simple field counting in the equivalent lattice theory.

Abstract

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 x 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 the non-commutative periodic lattice. Furthermore the large N scaling behavior of the coupling constant g is determined if we impose that the expectation values of Wilson loops are calculable.