arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1012.4811astro-ph.COgr-qc
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暴胀模型真空的新方法

A new approach to the vacuum of inflationary models

Shih-Hung Chen, James B. Dent

摘要:

本文给出了一种新的方法,用于在暴胀的背景下求解Mukhanov-Sasaki方程的边界条件的实现。熟悉的量化程序进行审查,随着讨论,人们可能会期望从标准的方法出现偏差。所提出的方法引入了一个(依赖于模型)的拟合函数的z”/z和a”/a项的Mukhanov-Sasaki方程的标量和张量模式,以及施加在有限的共形时间的边界条件。作为一个例子,我们采用了一个拟合函数,并计算谱指数,随着其运行,一个特定的暴胀模型,拥有的背景方程是解析可解的。张量标量比的观测上限也被用来约束张量扇区中边界条件的参数。最后对该方法的推广作了简要的评述。

英文摘要:

A new approach is given for the implementation of boundary conditions used in solving the Mukhanov-Sasaki equation in the context of inflation. The familiar quantization procedure is reviewed, along with a discussion of where one might expect deviations from the standard approach to arise. The proposed method introduces a (model dependent) fitting function for the z"/z and a"/a terms in the Mukhanov-Sasaki equation for scalar and tensor modes, as well as imposes the boundary conditions at a finite conformal time. As an example, we employ a fitting function, and compute the spectral index, along with its running, for a specific inflationary model which possesses background equations that are analytically solvable. The observational upper bound on the tensor to scalar ratio is used to constrain the parameters of the boundary conditions in the tensor sector as well. An overview on the generalization of this method is also discussed.

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。

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