论文标题
缓慢通胀的量子校正:标量和张量模式
Quantum corrections to slow-roll inflation: scalar and tensor modes
论文作者
论文摘要
通货膨胀通常是通过标量场的动力学来描述的,在适当的电势方面缓慢滚动。最终,必须将这种充气量确定为量子场的期望值,并以量子有效潜力发展。该电位的形状取决于基础树级电位,由标量场本身和度量扰动的量子校正打扮。在[1]之后,我们计算有效的标量场方程和校正后的Friedmann方程,以在标量场,标量度量和张量扰动中二次序列。我们在缓慢滚动中从不同来源中识别出来自不同来源的量子校正,并在通货膨胀的基准模型中估计它们的幅度。在这种情况下,我们评论非最小耦合与重力的含义。
Inflation is often described through the dynamics of a scalar field, slow-rolling in a suitable potential. Ultimately, this inflaton must be identified as the expectation value of a quantum field, evolving in a quantum effective potential. The shape of this potential is determined by the underlying tree-level potential, dressed by quantum corrections from the scalar field itself and the metric perturbations. Following [1], we compute the effective scalar field equations and the corrected Friedmann equations to quadratic order in both scalar field, scalar metric and tensor perturbations. We identify the quantum corrections from different sources at leading order in slow-roll, and estimate their magnitude in benchmark models of inflation. We comment on the implications of non-minimal coupling to gravity in this context.