论文标题
Scordatura DHOST理论中的隐形深色能量
Stealth dark energy in scordatura DHOST theory
论文作者
论文摘要
标量调整理论中的隐身DE Sitter解决方案具有精确的DE Sitter背景度量和非平凡的标量场曲线。最近,在退化的高阶标量调整器(DHOST)理论的背景下,表明隐形de Sitter溶液遭受无限强耦合或标量场扰动的梯度不稳定性。声速平方是消失或负数。在第一种情况下,强耦合量表为零,因此低于任何物理现象的能量尺度。从有效的现场理论的角度来看,通过引入称为Scordatura的堕落条件的受控失调,自然可以解决此问题,从而恢复了幽灵凝结的版本。在本文中,我们基于隐形宇宙学解决方案在Scordatura DHOST理论中构建了一个可行的暗能量模型,其中度量与标准$λ$ CDM模型中的度量相同,而标量场曲线谱图是线性依赖性的。我们表明,Scordatura机制可以解决强耦合和梯度不稳定性。此外,我们发现Scordatura对于使准静态极限定义明确,这也意味着subhorizon可观察物不可避免地会受到Scordatura的影响。我们得出了有效的重力耦合以及对线性暗物质能量密度对比度以及Weyl势和重力滑移参数的尺寸演化的摩擦项的校正。在没有scordatura的情况下,即使无限的强耦合问题是不公正地忽略的,准静态近似也会在隐形宇宙学解决方案周围分解。因此,需要考虑到Scordatura效应,需要重新审视文献中修饰重力中物质密度对比的次水平进化的先前估计。
A stealth de Sitter solution in scalar-tensor theories has an exact de Sitter background metric and a nontrivial scalar field profile. Recently, in the context of Degenerate Higher-Order Scalar-Tensor (DHOST) theories it was shown that stealth de Sitter solutions suffer from either infinite strong coupling or gradient instability for scalar field perturbations. The sound speed squared is either vanishing or negative. In the first case, the strong coupling scale is zero and thus lower than the energy scale of any physical phenomena. From the viewpoint of effective field theory, this issue is naturally resolved by introducing a controlled detuning of the degeneracy condition dubbed scordatura, recovering a version of ghost condensation. In this paper we construct a viable dark energy model in the scordatura DHOST theory based on a stealth cosmological solution, in which the metric is the same as in the standard $Λ$CDM model and the scalar field profile is linearly time-dependent. We show that the scordatura mechanism resolves the strong coupling and gradient instability. Further, we find that the scordatura is also necessary to make the quasi-static limit well-defined, which implies that the subhorizon observables are inevitably affected by the scordatura. We derive the effective gravitational coupling and the correction to the friction term for the subhorizon evolution of the linear dark matter energy density contrast as well as the Weyl potential and the gravitational slip parameter. In the absence of the scordatura, the quasi-static approximation would break down at all scales around stealth cosmological solutions even if the issue of the infinite strong coupling is unjustly disregarded. Therefore previous estimations of the subhorizon evolution of matter density contrast in modified gravity in the literature need to be revisited by taking into account the scordatura effect.