Fragmentation of cosmic string loops

Mathematics – Probability

Scientific paper

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Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We present a simple model of the fragmentation of a loop of cosmic string. Assuming that the ancestral loop (and each of its descendants) has a probability p of self-intersection, we determine the probability Pn that n loops survive. If p>=1/2, the fragmentation has a certain probability of becoming an unending cascade in which an infinite number of loops are produced.

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