Analytic Models for the Evolution of Semilocal String Networks

TL;DR

This paper adapts analytic models to study semilocal string networks, confirming linear scaling as the attractor solution and analyzing segment growth, supported by preliminary comparisons with numerical simulations.

Contribution

It introduces adapted analytic models for semilocal strings and provides detailed analysis of segment evolution, aligning with numerical simulation results.

Findings

Linear scaling is the attractor solution for semilocal string networks.

Analytic models successfully describe segment growth phenomenology.

Preliminary comparison supports model validity with numerical simulations.

Abstract

We revisit previously developed analytic models for defect evolution and adapt them appropriately for the study of semilocal string networks. We thus confirm the expectation (based on numerical simulations) that linear scaling evolution is the attractor solution for a broad range of model parameters. We discuss in detail the evolution of individual semilocal segments, focusing on the phenomenology of segment growth, and also provide a preliminary comparison with existing numerical simulations.