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arXiv 0806.4118hep-phhep-th
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Lorentz破坏耗散模型的暴胀谱

Inflationary Spectra from Lorentz Violating Dissipative Models

Julian Adamek, David Campo, Jens C. Niemeyer, Renaud Parentani

备注：
12 pages, 6 figures. Minor changes after refereeing and editing
发表信息：
Phys.Rev.D78:103507,2008
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摘要：

暴胀光谱对初始条件的敏感性是在一个唯象模型的背景下解决的，该模型通过高于某些阈值能量$Λ$的耗散效应来打破洛伦兹不变性。这些效应是通过将波动模式耦合到低于$Λ$不可观察的额外自由度来动态获得的。由于早期传播中的强耗散效应，只有额外自由度的状态与功率谱有关。如果这个状态是基态，并且如果$Λ$比哈勃尺度$H$大得多，则恢复标准光谱。使用解析和数值方法，我们计算了一个大类的耗散模型的修改。对于所有这些，我们表明，领先的修改（在$H/Λ$的扩展）是线性的在视界出口处的衰变率评估，并没有产生高频叠加振荡。当衰减速率比$H$的立方下降得慢时，该修正为负，这意味着在最大尺度上存在功率损失。

英文摘要：

The sensitivity of inflationary spectra to initial conditions is addressed in the context of a phenomenological model that breaks Lorentz invariance by dissipative effects above some threshold energy $Λ$. These effects are obtained dynamically by coupling the fluctuation modes to extra degrees of freedom which are unobservable below $Λ$. Because of the strong dissipative effects in the early propagation, only the state of the extra degrees of freedom is relevant for the power spectrum. If this state is the ground state, and if $Λ$ is much larger than the Hubble scale $H$, the standard spectrum is recovered. Using analytical and numerical methods, we calculate the modifications for a large class of dissipative models. For all of these, we show that the leading modification (in an expansion in $H/Λ$) is linear in the decay rate evaluated at horizon exit, and that high frequency superimposed oscillations are not generated. The modification is negative when the decay rate decreases slower than the cube of $H$, which means that there is a loss of power on the largest scales.

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