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arXiv 1112.4580gr-qcastro-ph.COhep-th
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宇宙粒子产生的不确定关系和再加热中大涨落的存在

Uncertainty relations for cosmological particle creation and existence of large fluctuations in reheating

Ali Kaya

摘要:

我们导出了含时均匀各向同性经典背景中量子标量场的能量密度和压强的不确定关系,这意味着存在与真空期望值相当的大涨落.一个类似的不确定性关系是已知的,以保持场平方,因为该领域可以被视为一个高斯随机变量。我们讨论了这些结果的再加热过程中的标量场驱动的暴胀模型,其中再加热是通过相干振荡暴胀子场的衰变实现的可能影响。具体来说,我们认为,后逆反应的演变可以严重改变这些波动的存在。例如,在一个模型中,暴胀子振荡的相干性被发现在逆反应开始后的很短时间内完全丧失。因此,我们认为,进入一个光滑的阶段,在热平衡是值得怀疑的,在这样的模型和再加热可能会破坏所获得的通货膨胀的平滑。

英文摘要:

We derive an uncertainty relation for the energy density and pressure of a quantum scalar field in a time-dependent, homogeneous and isotropic, classical background, which implies the existence of large fluctuations comparable to their vacuum expectation values. A similar uncertainty relation is known to hold for the field square since the field can be viewed as a Gaussian random variable. We discuss possible implications of these results for the reheating process in scalar field driven inflationary models, where reheating is achieved by the decay of the coherently oscillating inflaton field. Specifically we argue that the evolution after backreaction can seriously be altered by the existence of these fluctuations. For example, in one model the coherence of the inflaton oscillations is found to be completely lost in a very short time after backreaction starts. Therefore we argue that entering a smooth phase in thermal equilibrium is questionable in such models and reheating might destroy the smoothness attained by inflation.

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