Quantum instability of the emergent universe

Quantum instability of the emergent universe
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DOI:
10.1103/physrevd.88.103504
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发表时间:
2013-06
期刊:
影响因子:
5
通讯作者:
A. Aguirre;J. Kehayias
A. Aguirre;J. Kehayias
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Aguirre;J. Kehayias

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我们对膨胀的新兴宇宙场景进行了半经典分析。固定背景,并假设暴胀是均匀的,我们将暴胀的演化视为一维量子力学问题。势被认为是平坦的或线性的,作为一个近似的单调和缓慢变化的渐近行为的涌现宇宙势。我们发现,在很长一段时间内,这种暴胀情景所需的调谐在量子力学上是不稳定的。将膨胀场值看作一个波包,波包的扩展破坏了以良态开始和以良态结束的任何机会。因此,我们不可能有一个爱因斯坦静态宇宙作为开始,在很长一段时间后演变成一个明确定义的暴胀开端。
We perform a semi-classical analysis of the Emergent Universe scenario for inflation. Fixing the background, and taking the inflaton to be homogenous, we cast the inflaton’s evolution as a onedimensional quantum mechanics problem. The potential is taken to be flat or linear, as an approximation to the monotonic and slowly-varying asymptotic behavior of the Emergent Universe potential. We find that the tuning required over a long time scale for this inflationary scenario is unstable quantum mechanically. Considering the inflaton field value as a wavepacket, the spreading of the wavepacket destroys any chance of both starting and ending with a well-formed state. Thus, one cannot have an Einstein static universe to begin with that evolves into a well-defined beginning to inflation a long time later.