arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2402.08375gr-qc
收藏

圈量子宇宙学中跨普朗克问题的绝热方法

Adiabatic approach to the trans-Planckian problem in Loop Quantum Cosmology

Luis J. Garay, Mario López González, Mercedes Martín-Benito, Rita B. Neves

AI总结:

本研究在混合圈量子宇宙学框架下,通过引入修正色散关系分析跨普朗克标量模式的动力学,发现跨普朗克问题的存在性依赖于具体的暴胀模型。

摘要:

我们在混合圈量子宇宙学(Loop Quantum Cosmology, LQC)的框架下,研究了当今可观测、在暴胀前处于跨普朗克尺度的标量模式。我们通过在运动方程中引入修正色散关系,分析了这些极紫外模式的动力学,并通过计算绝热系数讨论了这些关系对功率谱的影响。更具体地说,我们考虑了两种与标准线性色散关系的观测结果相容的模型,它们基于微扰和背景的不同初始条件。其中一种模型通过产生更少的暴胀$e$-折叠数彻底规避了该问题,使得可观测模式从未处于跨普朗克尺度,而另一种模型则(可以说轻微地)存在跨普朗克问题。这表明LQC中跨普朗克问题的存在性是依赖于模型的。

英文摘要:

We study the scalar modes that, being observable today, were trans-Planckian before inflation, within the context of hybrid Loop Quantum Cosmology (LQC). We analyse the dynamics of these highly ultraviolet modes by introducing modified dispersion relations to their equations of motion and discuss the impact that these relations would introduce in the power spectrum by computing the adiabaticity coefficient. More precisely, we consider two different models compatible with observations for the standard linear dispersion relation which are based on different initial conditions for the perturbations and background. One of these models avoids the issue altogether by generating less $e$-folds of inflation, so that the observable modes are never trans-Planckian, whereas the other suffers (arguably softly) from the trans-Planckian problem. This shows that the existence of the trans-Planckian problem in LQC is model-dependent.

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。

↑