We develop an analytical model to study the production spectrum of loops inthe cosmic string network. In the scaling regime, we find two different scalescorresponding to large (one order below horizon) and small (few orders belowhorizon) loops. The very small (tiny) loops at the gravitational back reactionscale are absent, and thus, our model has no ultra-violet divergences. Wecalculate the spectrum of loops and derive analytical expressions for thepositions and magnitudes of the small and large scale peaks. The small loopsare produced by large bursts of similar loops moving with very high velocitiesin the same direction. We describe the shape of large loops, which wouldusually consist of few kinks and few cusps per oscillation cycle. We also arguethat the typical size of large loops is set by the correlation length, whichdoes not depend on the intercommutation probability p, while the interstringdistance scales as p^{1/3}.
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