论文标题
在空间协变重力中具有动态失误功能的宇宙学扰动
Cosmological perturbations in the spatially covariant gravity with a dynamical lapse function
论文作者
论文摘要
我们研究了具有动力学失误功能的一类空间协变重力理论中的标量扰动。 通常，由于存在衰减功能的速度，有两个标量自由度。 我们将标量扰动视为在两场通货膨胀模式下的类似物，其中一种是光模式，另一种是重型模式。 这是通过以下事实证明的：由于动态失去函数引起的标量模式在降低函数减少为辅助变量时在极限内变得无限重。 可以应用多个归档扰动的标准方法来处理我们的模型。 通过整合重模式并得出单光场的有效理论，我们找到了平面波的形式的单个模式的解决方案。 然后，我们通过使用标准的磁场理论方法来计算重量模式的校正光模式的功率谱。 最后，当两个字段没有弱耦合时，我们找到了耦合系统的功率定律模式。
We investigate the scalar perturbations in a class of spatially covariant gravity theory with a dynamical lapse function. Generally, there are two scalar degrees of freedom due to the presence of the velocity of the lapse function. We treat the scalar perturbations as analogues of those in a two-field inflationary mode, in which one is light mode and the other is the heavy mode. This is justified by the fact that the scalar mode due to the dynamical lapse function becomes infinitely heavy in the limit when the lapse function reduces to be an auxiliary variable. The standard approaches of multiple filed perturbations can be applied to deal with our model. By integrating out the heavy mode and derive the effective theory for the single light field, we find the solution to the single mode in the form of plane waves. Then we calculate the corrections to the power spectrum of the light mode from the heavy mode, by making use of the standard perturbative method of field theory. At last, when the two fields are not weakly coupled, we find a power law mode for the coupled system in large scales.
