Analytic Study of Small Scale Structure on Cosmic Strings

Abstract

The properties of string networks at scales well below the horizon are poorly understood, but they enter critically into many observables. We argue that in some regimes, stretching will be the only relevant process governing the evolution. In this case, the string two-point function is determined up to normalization: the fractal dimension approaches one at short distance, but the rate of approach is characterized by an exponent that plays an essential role in network properties. The smoothness at short distance implies, for example, that cosmic string lensing images are little distorted. We then add in loop production as a perturbation and find that it diverges at small scales. This need not invalidate the stretching model, since the loop production occurs in localized regions, but it implies a complicated fragmentation process. Our ability to model this process is limited, but we argue that loop production peaks a few orders of magnitude below the horizon scale, without the inclusion of gravitational radiation. We find agreement with some features of simulations, and interesting discrepancies that must be resolved by future work.

28 pages, 4 figures. v3: various small clarifications in calculations (secs. 2 and 4) v4: ref. added

References in corpus (14)

• Cosmic strings
• Fractal Properties and Small-scale Structure of Cosmic String Networks
• Scaling of cosmic string loops
• Evolution of cosmic string configurations
• Scaling and Small Scale Structure in Cosmic String Networks
• Cosmic string scaling in flat space
• On the size of the smallest scales in cosmic string networks
• Gravitational Lensing by Cosmic String Loops
• Reionization from cosmic string loops
• Cosmic Strings Lens Phenomenology: Model of Poisson Energy Distribution
• Gravitational Lensing by Cosmic Strings in the Era of Wide-Field Surveys
• Cosmic String Cusps with Small-Scale Structure: Their Forms and Gravitational Waveforms
• Observing Long Cosmic Strings Through Gravitational Lensing
• Characterizing a cosmic string with the statistics of string lensing

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