暗能量有效场论的扩展action:稳定性分析和在EFTCAMB基础上映射的完整指南
An Extended action for the effective field theory of dark energy: a stability analysis and a complete guide to the mapping at the basis of EFTCAMB
摘要:
我们提出了一个推广的有效场论(EFT)形式主义的暗能量和修改后的重力模型,包括运营商与高阶空间导数。这使得EFT框架可以扩展到更广泛的引力理论,如Horava引力。我们提出了相应的扩展作用量,无论是在EFT和Arnowitt-Deser-Misner(ADM)形式主义,并着手制定出一个方便的映射之间的两者,提供一个自包含的和一般的程序,将一个给定的重力模型转换成EFT语言的基础上的Einstein-Boltzmann求解器EFTCAMB。把这个映射在工作中,我们说明,几个有趣的模型的暗能量和修改后的重力,如何表示它们在ADM符号,然后将它们映射到EFT形式主义。我们还首次提供了GLPV模型到EFT框架的完整映射。接下来,我们进行一个全面的分析的物理稳定性的广义EFT行动,在没有物质成分。我们工作的可行性条件,对应于没有鬼和模式,传播的标量和张量部门的负声速,以及没有快子模式的标量部门。最后,我们扩展和推广的现象学基础方面的$α$ -函数引入参数化Horndeski模型,以涵盖所有的理论与高阶空间导数包括在我们的扩展行动。我们详细说明的影响,额外的功能上的物理量,如动力学项和标量和张量模式的传播速度。
英文摘要:
We present a generalization of the effective field theory (EFT) formalism for dark energy and modified gravity models to include operators with higher order spatial derivatives. This allows the extension of the EFT framework to a wider class of gravity theories such as Horava gravity. We present the corresponding extended action, both in the EFT and the Arnowitt-Deser-Misner (ADM) formalism, and proceed to work out a convenient mapping between the two, providing a self contained and general procedure to translate a given model of gravity into the EFT language at the basis of the Einstein-Boltzmann solver EFTCAMB. Putting this mapping at work, we illustrate, for several interesting models of dark energy and modified gravity, how to express them in the ADM notation and then map them into the EFT formalism. We also provide for the first time, the full mapping of GLPV models into the EFT framework. We next perform a thorough analysis of the physical stability of the generalized EFT action, in absence of matter components. We work out viability conditions that correspond to the absence of ghosts and modes that propagate with a negative speed of sound in the scalar and tensor sector, as well as the absence of tachyonic modes in the scalar sector. Finally, we extend and generalize the phenomenological basis in terms of $α$-functions introduced to parametrize Horndeski models, to cover all theories with higher order spatial derivatives included in our extended action. We elaborate on the impact of the additional functions on physical quantities, such as the kinetic term and the speeds of propagation for scalar and tensor modes.
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