Stokes phenomenon and gravitational particle production ? How to evaluate it in practice
Stokes phenomenon and gravitational particle production ? How to evaluate it in practice
复制标题
斯托克斯现象和引力粒子的产生？
DOI：
10.1088/1475-7516/2021/05/022
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发表时间：
2021
影响因子：
6.4
通讯作者：
Yamada Yusuke
中科院分区：
文献类型：
--
作者：
Hashiba Soichiro;Yamada Yusuke
我们从斯托克斯现象的角度重新审视引力粒子的产生，这有助于我们系统地理解模态函数在瞬态背景下的渐近行为。我们这项工作的目的之一是使该方法对于评估非微扰粒子产生率更加实用。特别是，通过几个与时间相关的背景的例子，我们引入了一些近似方法，使分析更加实用。具体来说，我们考虑简单膨胀背景下的粒子产生、R 2 膨胀后的预热以及质量平滑变化的过渡模型。由于我们在分析每个示例的斯托克斯现象时发现了几个技术问题，因此我们讨论如何简化问题，同时显示我们所做的近似下分析估计的准确性。
We revisit gravitational particle production from the Stokes phenomenon viewpoint, which helps us make a systematic way to understand asymptotic behavior of mode functions in time-dependent background. One of our purposes of this work is to make the method more practical for evaluation of non-perturbative particle production rate. In particular, with several examples of time-dependent backgrounds, we introduce some approximation methods that make the analysis more practical. Specifically, we consider particle production in simple expanding backgrounds, preheating after R 2 inflation, and a transition model with smoothly changing mass. As we find several technical issues in analyzing the Stokes phenomenon of each example, we discuss how to simplify the problems while showing the accuracy of analytic estimation under the approximations we make.