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arXiv 0909.2712hep-thgr-qc
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经典背景下量子场的涨落和再加热

Fluctuations of Quantum Fields in a Classical Background and Reheating

Ali Kaya

摘要:

我们考虑了在含时、均匀、各向同性的经典背景中与量子场χ相关联的粒子产生过程。结果表明,产生的粒子的场平方χ^2、能量密度和压强都有较大的涨落,与它们的真空期望值相当。这些波动对再加热过程的可能影响后,通货膨胀进行了讨论。在确定了两种不同模型中涨落的关联长度后,我们发现在最终热化过程、反反应效应和考虑原初黑洞的形成时,都应该考虑这些涨落的关联长度.在这两个模型中,通过相互比较量子和热涨落,可以观察到,即使当相互作用速率很大时,在完全暴胀子衰变后,非常快速的热化也不总是可能的。另一方面,当在预热阶段包括反反应效应时,暴胀子振荡的相干性由于χ^2的波动而丧失。最后,我们注意到,一个大的波动的能量密度可能会导致一个黑洞的形成,我们确定的总能量密度的分数,进入这样的原始黑洞在我们考虑的预热模型。

英文摘要:

We consider the particle creation process associated with a quantum field χin a time-dependent, homogeneous and isotropic, classical background. It is shown that the field square χ^2, the energy density and the pressure of the created particles have large fluctuations comparable to their vacuum expectation values. Possible effects of these fluctuations on the reheating process after inflation are discussed. After determining the correlation length of the fluctuations in two different models, corresponding to the decay in the parametric resonance regime and in the perturbation theory, it is found that these fluctuations should be taken into account in the final thermalization process, in the back-reaction effects and when the formation of primordial black holes is considered. In both models, by comparing quantum and thermal fluctuations with each other it is observed that very quick thermalization after the complete inflaton decay is not always possible even when the interaction rates are large. On the other hand, when the back-reaction effects are included during the preheating stage, the coherence of the inflaton oscillations is shown to be lost because of the fluctuations in χ^2. Finally, we note that a large fluctuation in the energy density may cause a black hole to form and we determine the fraction of total energy density that goes into such primordial black holes in the model of preheating we consider.

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