发表机构
AEC, Institute for Theoretical Physics, University of Bern(伯尔尼大学理论物理研究所)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
该研究开发了一款名为Warm-Inflation的Mathematica软件,用于第一性原理计算暖暴胀的功率谱等观测量,提供了标准模型嵌入暖暴胀及其他常用势的计算示例与相关资源。
AI 中文摘要
作为题为《暖暴胀与再加热期间的标量扰动》的博士论文的一部分,我们提出了一款用于计算暖暴胀观测量的软件。具体而言,我们的Mathematica实现可针对给定的动量尺度计算功率谱、谱倾角以及张量-标量比。与其他实现相比,我们从视界深处的Bunch-Davies态开始,理想情况下该时刻热噪声呈指数级被抑制。我们对三个曲率扰动的规范不变方程进行积分,直至其穿出视界足够深,使所有曲率扰动达成一致。结果以嵌入标准模型的暖暴胀为例进行说明,我们还提供了适用于其他几种常用势和摩擦系数的笔记本。该代码的理论基础可在论文主体或早期文献[1,2]中找到:第二部分推导了与模型无关的规范不变演化方程,以及在量子与经典域间插值的噪声自关联器;第三部分介绍了数值实现的基本思路;第四部分展示了选定结果;附录A逐行描述了代码。已发表的博士论文可通过此httpsURL获取,笔记本可从此httpsURL下载。
英文摘要
As part of a PhD thesis entitled `Scalar perturbations in warm inflation and during reheating' we present a software for computing warm inflation observables. In particular, our Mathematica implementation computes the power spectrum, spectral tilt, and tensor-to-scalar ratio for a given momentum scale. Compared with other implementations, we start in a Bunch-Davies state deep inside the horizon, ideally at a time when thermal noise is exponentially suppressed. We integrate gauge-invariant equations for three curvature perturbations across horizon exit. We continue deep enough outside of horizon so that all curvature perturbations agree. Results are illustrated for Standard Model embedded warm inflation, and we also provide notebooks for several other popular potentials and friction coefficients. The theoretical foundations for the code can be found in the main part of the thesis or in earlier papers [1,2]. Specifically, part II derives gauge-invariant, model-agnostic evolution equations, as well as the noise autocorrelator interpolating between quantum and classical domains. Part III presents the general ideas behind the numerical implementation, while part IV presents selected results. The code is described, line-by-line, in Appendix A. The published PhD thesis is available at https://doi.org/10.48620/101166 while the notebooks can be downloaded from https://github.com/alicarogeljblackhole/Warm-Inflation.
Comments99 pages. Part of a PhD thesis at the University of Bern
DOI:10.48620/101166