A simple model for the evolution of a non-Abelian cosmic string network

TL;DR

This paper uses numerical simulations to study how non-Abelian cosmic string networks evolve, focusing on how the number of generators affects their asymptotic behavior and scaling properties.

Contribution

It introduces a simple lattice model for non-Abelian cosmic strings and analyzes their evolution for different numbers of topological generators.

Findings

Scaling solutions are approached in most cases.

The number of generators influences the asymptotic behavior.

Lack of scaling observed in certain residual cases.

Abstract

In this paper we present the results of numerical simulations intended to study the behavior of non-Abelian cosmic strings networks. In particular we are interested in discussing the variations in the asymptotic behavior of the system as we variate the number of generators for the topological defects. A simple model which should generate cosmic strings is presented and its lattice discretization is discussed. The evolution of the generated cosmic string networks is then studied for different values for the number of generators for the topological defects. Scaling solution appears to be approached in most cases and we present an argument to justify the lack of scaling for the residual cases.