论文标题

量子慢卷

Quantum Slow Roll

论文作者

Benevides, André, Dabholkar, Atish

论文摘要

我们考虑一个标量场,通过Yukawa的耦合(例如Higgs Field)在Robertson-Walker SpaceTime中耦合到无质量的费米子。我们通过整合循环中的费米子引起的Weyl异常来计算非本地量子有效作用作为背景标量场的功能和一个循环顺序的比例因子。我们表明,标量场的模式膨胀是通过量子非局部性的修改,而标量扰动的功率谱则显示出慢速滚动,即使经典的spacetime完全是de notter,也与Yukawa耦合的正方形成比例的红色倾斜度。我们评论对宇宙学的可能影响。

We consider a scalar field coupled to massless fermions through Yukawa couplings, such as the Higgs field, in a Robertson-Walker spacetime. We compute the nonlocal quantum effective action as a functional of the background scalar field and the scale factor at one loop order by integrating the Weyl anomaly resulting from the fermions in the loop. We show that the mode expansion of the scalar field is modified by the quantum nonlocality and the power spectrum of scalar perturbations exiting the horizon exhibits a slow roll with a red tilt proportional to the square of the Yukawa coupling even though the classical spacetime is exactly de Sitter. We comment on possible implications for cosmology.

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