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arXiv 1709.09804gr-qcastro-ph.CO
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二阶规范不变宇宙学微扰的哈密顿方法

Hamiltonian approach to 2nd order gauge invariant cosmological perturbations

Guillem Domènech, Misao Sasaki

AI总结:

本文在哈密顿形式论中采用Faddeev-Jackiw方法研究宇宙学微扰,推导出直至二阶的规范不变变量,首次无需规范固定项即可约化三阶作用量,并揭示了均匀-$ϕ$与牛顿切片间的关系及张量模定义差异。

摘要:

鉴于对张量模及其可能探测的日益关注,我们在哈密顿形式论中澄清了微扰理论中直至二阶的张量模的定义。如同在规范理论中一样,在宇宙学中哈密顿量是减少规范自由度的合适且一致的方法。本文采用Faddeev-Jackiw方法进行哈密顿约化。通过相空间中适当的正则变换,可获得描述动力学自由度的规范不变变量集合。我们推导出了微扰展开中直至二阶的规范不变变量集合,并且首次在不添加规范固定项的情况下约化了三阶作用量。特别地,我们能够展示均匀-$ϕ$切片与牛顿切片之间的关系,并研究这两种切片中张量模定义的差异。

英文摘要:

In view of growing interest in tensor modes and their possible detection, we clarify the definition of tensor modes up to 2nd order in perturbation theory within the Hamiltonian formalism. Like in gauge theory, in cosmology the Hamiltonian is a suitable and consistent approach to reduce the gauge degrees of freedom. In this paper we employ the Faddeev-Jackiw method of Hamiltonian reduction. An appropriate set of gauge invariant variables that describe the dynamical degrees of freedom may be obtained by suitable canonical transformations in the phase space. We derive a set of gauge invariant variables up to 2nd order in perturbation expansion and for the first time we reduce the 3rd order action without adding gauge fixing terms. In particular, we are able to show the relation between the uniform-$ϕ$ and Newtonian slicings, and study the difference in the definition of tensor modes in these two slicings.

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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