arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2109.08508gr-qc
收藏

暴胀量子动力学和反反应的经典-量子对应

Inflationary quantum dynamics and backreaction using a classical-quantum correspondence

Reginald Christian Bernardo

摘要:

我们使用最近引入的经典-量子对应来研究暴胀动力学,以研究量子力学自由度对经典背景的逆反应。特别是使用耦合爱因斯坦-克莱因-戈登系统,一个近似,以及在非常早期的通货膨胀时代时,模式是非常深的哈勃视界内,我们表明,量子场的模式的反作用将重整化哈勃参数,只有当模式的波长长于一些阈值普朗克长度尺度。否则,这种模式将破坏通胀时代的稳定。我们还提出了一个近似的解析解,支持这种短波长阈值的存在,并比较经典量子对应的结果与传统的微扰迭代方法在半经典引力。

英文摘要:

We study inflationary dynamics using a recently introduced classical-quantum correspondence for investigating the backreaction of a quantum mechanical degree of freedom to a classical background. Using specifically a coupled Einstein-Klein-Gordon system, an approximation that holds well during the very early inflationary era when modes are very deep inside the Hubble horizon, we show that the backreaction of a mode of the quantum field will renormalize the Hubble parameter only if the mode's wavelength is longer than some threshold Planckian length scale. Otherwise, the mode will destabilize the inflationary era. We also present an approximate analytical solution that supports the existence of such short-wavelength threshold and compare the results of the classical-quantum correspondence with the traditional perturbative-iterative method in semiclassical gravity.

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。

↑