The number of cosmic string loops

Abstract

Using recent simulation results, we provide the mass and speed spectrum of cosmic string loops. This is the quantity of primary interest for many phenomenological signatures of cosmic strings, and it can be accurately predicted using recently acquired detailed knowledge of the loop production function. We emphasize that gravitational smoothing of long strings does not play any role in determining the total number of existing loops. We derive a bound on the string tension imposed by recent constraints on the stochastic gravitational wave background from pulsar timing arrays, finding $G\mu \le 2.8\times 10^{-9}$. We also provide a derivation of the Boltzmann equation for cosmic string loops in the language of differential forms.

34 pages, 15 figures

References in corpus (18)

• Gravitational wave stochastic background from cosmic (super)strings
• Gravitational-Wave Stochastic Background from Kinks and Cusps on Cosmic Strings
• Gravitational wave bursts from cosmic (super)strings: Quantitative analysis and constraints
• Cosmic string loop distribution on all length scales and at any redshift
• Exact Scale-Invariant Background of Gravitational Waves from Cosmic Defects
• Cosmic string loops in the expanding universe
• Stochastic Gravitational Wave Background from Light Cosmic Strings
• Analytic Study of Small Scale Structure on Cosmic Strings
• Cosmic Sparks from Superconducting Strings
• Cosmic String Structure at the Gravitational Radiation Scale
• Cosmic String Loops, Large and Small
• First LIGO search for gravitational wave bursts from cosmic (super)strings
• Gravitational Waves from Light Cosmic Strings: Backgrounds and Bursts with Large Loops
• Radio Broadcasts from Superconducting Strings
• Reionization from cosmic string loops
• Cosmic Strings as Emitters of Extremely High Energy Neutrinos
• Magnetogenesis from Cosmic String Loops
• 21 cm Angular Spectrum of Cosmic String Loops

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