Axions from Strings: the Attractive Solution

TL;DR

This paper investigates the evolution and properties of axion strings in the early Universe through numerical simulations, revealing an attractor solution with specific emission spectra and highlighting the importance of spectrum details for relic axion abundance estimates.

Contribution

The study demonstrates the existence of an asymptotic attractor solution for axion string networks and analyzes its properties, including radiation emission and spectrum shape, with implications for axion dark matter.

Findings

Identification of an asymptotic attractor solution for axion strings

Logarithmic violations of scaling properties observed

Spectrum of emitted axions peaks at the string core scale

Abstract

We study the system of axion strings that forms in the early Universe if the Peccei-Quinn symmetry is restored after inflation. Using numerical simulations, we establish the existence of an asymptotic solution to which the system is attracted independently of the initial conditions. We study in detail the properties of this solution, including the average number of strings per Hubble patch, the distribution of loops and long strings, the way that different types of radiation are emitted, and the shape of the spectrum of axions produced. We find clear evidence of logarithmic violations of the scaling properties of the attractor solution. We also find that, while most of the axions are emitted with momenta of order Hubble, most of the axion energy density is contained in axions with energy of order the string core scale, at least in the parameter range available in the simulation. While such a spectrum would lead to a negligible number density of relic axions from strings when extrapolated to the physical parameter region, we show that the presence of small logarithmic corrections to the spectrum shape could completely alter such a conclusion. A detailed understanding of the evolution of the axion spectrum is therefore crucial for a reliable estimate of the relic axion abundance from strings.