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arXiv 1404.2684gr-qcastro-ph.COhep-phhep-th
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暴胀/暗能量的有效场论和Horndeski理论

The effective field theory of inflation/dark energy and the Horndeski theory

Shinji Tsujikawa

摘要:

宇宙学扰动的有效场论(EFT)是处理暴胀和暗能量的低能自由度的有用框架。本文从酉规范中最一般的作用量出发,对修正引力理论的EFT进行了综述,其中包括Arnowitt-Deser-Misner(ADM)形式中出现的时滞函数和三维几何标量。将扰动的作用量展开到二阶,并施加消除二阶以上空间导数的条件,得到了曲率扰动和单标量自由度引力波的拉格朗日量.由此产生的二阶拉格朗日用于计算在通货膨胀过程中产生的标量和张量功率谱。我们还表明,最一般的标量张量理论与二阶运动方程-Horndeski理论-属于我们的一般EFT框架的行动,并在Horndeski理论的背景运动方程可以方便地表示在三个EFT参数。最后,我们研究了基于Horndeski理论的暗能量模型的物质密度扰动方程和有效引力耦合,以使模型与大尺度结构和弱透镜效应的观测相对应。

英文摘要:

The effective field theory (EFT) of cosmological perturbations is a useful framework to deal with the low-energy degrees of freedom present for inflation and dark energy. We review the EFT for modified gravitational theories by starting from the most general action in unitary gauge that involves the lapse function and the three-dimensional geometric scalar quantities appearing in the Arnowitt-Deser-Misner (ADM) formalism. Expanding the action up to quadratic order in the perturbations and imposing conditions for the elimination of spatial derivatives higher than second order, we obtain the Lagrangian of curvature perturbations and gravitational waves with a single scalar degree of freedom. The resulting second-order Lagrangian is exploited for computing the scalar and tensor power spectra generated during inflation. We also show that the most general scalar-tensor theory with second-order equations of motion-Horndeski theory-belongs to the action of our general EFT framework and that the background equations of motion in Horndeski theory can be conveniently expressed in terms of three EFT parameters. Finally we study the equations of matter density perturbations and the effective gravitational coupling for dark energy models based on Horndeski theory, to confront the models with the observations of large-scale structures and weak lensing.

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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