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arXiv 0712.2236gr-qcastro-phhep-phhep-th
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宇宙弦环:大的和小的,但不是微小的

Cosmic string loops: large and small, but not tiny

Vitaly Vanchurin

摘要:

我们发展了一个分析模型来研究宇宙弦网络中的环的产生谱。在标度制度,我们发现两个不同的尺度对应于大(一个订单低于地平线)和小(几个订单低于地平线)的循环。在引力反作用尺度上的非常小的(微小的)环是不存在的,因此,我们的模型没有紫外发散。我们计算了环的频谱,并推导出小尺度和大尺度峰的位置和幅度的解析表达式。小的环是由类似的环以非常高的速度向同一方向运动的大爆发产生的。我们描述的形状大的循环,这通常会包括几个扭结和几个尖点每个振荡周期。我们还认为,大循环的典型大小是由相关长度决定的,相关长度不依赖于对易概率p,而串间距离的尺度为p^{1/3}。

英文摘要:

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}.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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