Abstract

The dynamics of string junctions and their influence on the evolution of cosmic superstring networks are studied in full detail. We review kinematic constraints for colliding strings in a Friedmann-Lema\^itre-Robertson-Walker background and obtain the average distribution of possible string configurations after string collisions. The study of small-scale structure enables us to investigate the average growth/reduction rate of string junctions for a given cosmic string network. Incorporating the averaged junction dynamics into the velocity-dependent one-scale model for multi-tension string networks, we improve the semi-analytic description and quantitative understanding of cosmic superstring network evolution.

Highlights

  • A possible outcome of brane inflation is the production of a network of cosmic superstrings [1,2,3,4,5,6,7]

  • In this work we revisited the description of junctions in cosmic string networks, and of their impact in the overall dynamics

  • We studied kinematic constraints and collision between straight string segments in a generic FLRW background metric

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Summary

INTRODUCTION

A possible outcome of brane inflation is the production of a network of cosmic superstrings [1,2,3,4,5,6,7]. The quantum description of string interactions [20,21,22,23,24], and the kinematic constraints on junction production [25,26,27,28,29] have been included in a VOS description Exploration of these analytic models indicates that these complex networks can still achieve scaling behaviour [30,31,32,33], the corresponding scaling densities and velocities may be different from those of ordinary strings. We briefly discuss some of the solutions of our extended model, and compare them with earlier results

JUNCTION DYNAMICS
Solution for a straight string in a FLRW background
Collision of straight strings in expanding universe
Angles between strings after collision
Correlation functions of ingoing components and small-scale structure
EXTENDED VOS MODEL WITH DYNAMICAL JUNCTIONS
VOS model for strings with dynamical junctions
CONCLUSIONS
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