Scaling in a non-Abelian string network

A complete scaling picture for a network of Abelian strings on a torus has been presented in a previous paper. Kibble has given a nice model to study SO(3) strings on the lattice. In the present work, non-Abelian strings are realized by Kibble's criterion and a scaling picture comes out very similar to that of my previous paper but a third phase is distinguished by a new characteristic length. Topological contributions are discussed with respect to nontrivial ones. Two general classes of topology are selected and the infinite-volume limit is analyzed