论文标题
通货膨胀期间,来自激发标量场的一环张量功率谱
One-loop tensor power spectrum from an excited scalar field during inflation
论文作者
论文摘要
我们在使用中的正式主义存在激发的观众标量场的情况下,在存在激发的观众标量场的情况下,为通货膨胀张量功率谱提供了一致的一环计算。我们发现,张量模式的超级水平原始功率谱可以通过subhorizon标量场的循环效应来扩展或减小。我们的计算还包括标量引起的重力波谱在先前的文献中经典计算,仅在扩增标量场的尺度附近才有意义。超级马增强是哈密顿相互作用的高阶效应,可以理解为非线性相互作用引入的Bogoliubov变换。另一方面,由于四阶标量量表张量调节耦合,可能会出现张量功率谱的尺度不变降低。这种现象可以理解为单独宇宙方法中各向异性Bianchi I型背景的演变。我们的结果表明,大规模测量可能会间接测试小型宇宙学通过环校正的戏剧性影响。这种可能性为通过宇宙学量表的重力波检测器探测原始宇宙的小规模物理学开辟了新的基础。
We present a consistent one-loop calculation for the inflationary tensor power spectrum in the presence of an excited spectator scalar field using the in-in formalism. We find that the super-horizon primordial power spectrum of the tensor mode can be scale-invariantly enhanced or reduced by the loop effects of a subhorizon scalar field. Our calculation also includes the scalar-induced gravitational wave spectrum classically computed in the previous literature, which is significant only near the scales where the scalar field is amplified. The super-horizon enhancement is a higher-order effect of the interaction Hamiltonian, which can be understood as a Bogoliubov transformation introduced by nonlinear interactions. On the other hand, the scale-invariant reduction of the tensor power spectrum may occur due to the fourth-order scalar-scalar-tensor-tensor coupling. This phenomenon can be understood as the evolution of an anisotropic Bianchi type-I background in the separate universe approach. Our result suggests that large-scale measurements may indirectly test the dramatic effects of small-scale cosmological perturbations through loop corrections. This possibility opens a new ground in probing the small-scale physics of the primordial Universe through gravitational wave detectors of cosmological scales.