A statistical-weight interpretation for the 1N2 convergence factors of the topological expansion

In a world with exact SU_N symmetry Veneziano has proposed a topological expansion in terms of the small dimensionless parameter $\text{1}\text{N}{}^2$. We relate this convergence factor to the density of hadronic states. The weakness of higher-order corrections (i.e., $\text{1}\text{N}{}^2$) is interpreted as reflecting the small proportion of states that can flow through a “cylinder.” States that communicate with the cylinder may be strongly affected thereby, but the number of such states is relatively small.