Cosmic string loops: large and small, but not tiny

Abstract

We develop an analytical model to study the production spectrum of loops in the cosmic string network. In the scaling regime, we find two different scales corresponding to large (one order below horizon) and small (few orders below horizon) loops. The very small (tiny) loops at the gravitational back reaction scale are absent, and thus, our model has no ultra-violet divergences. We calculate the spectrum of loops and derive analytical expressions for the positions and magnitudes of the small and large scale peaks. The small loops are produced by large bursts of similar loops moving with very high velocities in the same direction. We describe the shape of large loops, which would usually consist of few kinks and few cusps per oscillation cycle. We also argue that the typical size of large loops is set by the correlation length, which does not depend on the intercommutation probability p, while the interstring distance scales as p^{1/3}.

6 pages, 1 figure, power-law approximation is replaced with exponential

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Cited by in corpus (22)

• Cosmic Strings and Superstrings
• Stochastic Gravitational Wave Background generated by Cosmic String Networks: Velocity-Dependent One-Scale model versus Scale-Invariant Evolution
• Cosmic String Loops, Large and Small
• Forecast constraints on cosmic string parameters from gravitational wave direct detection experiments
• Probing Cosmic Superstrings with Gravitational Waves
• Forecast constraints on cosmic strings from future CMB, pulsar timing and gravitational wave direct detection experiments
• UHE neutrinos from superconducting cosmic strings
• The Stochastic Gravitational Wave Background Generated by Cosmic String Networks: the Small-Loop Regime
• Anisotropies in the gravitational wave background as a probe of the cosmic string network
• Non-Thermal Dark Matter from Cosmic Strings
• Cosmological and astrophysical constraints on superconducting cosmic strings
• Cosmological Constraints on Strongly Coupled Moduli from Cosmic Strings
• Cosmic String Dynamics and Evolution in Warped Spacetime
• Towards a kinetic theory of strings
• Clustering of Superstring Loops
• Kinetic Theory and Hydrodynamics of Cosmic Strings
• Semi-scaling cosmic strings
• Non-linear dynamics of cosmic strings with non-scaling loops
• Continuous self-similar evaporation of a rotating cosmic string loop
• Fluid Mechanics of Strings
• Small Scale Behavior of Cosmic String Networks
• Analytic Approaches to the Study of Small Scale Structure on Cosmic String Networks