标题： 暴胀场势能的量子修正及超视界模和迹 anomaly 引起的功率谱 显示英文标题

标题： Quantum corrections to the inflaton potential and the power spectra from superhorizon modes and trace anomalies

摘要： 我们在慢滚膨胀期间通过包含能量动量张量的一圈量子修正（来自标量曲率和张量扰动以及轻标量和轻Dirac费米子的量子涨落）来获得有效的膨胀子势能。在慢滚膨胀期间，能量动量张量中超视界和亚视界贡献之间存在清晰且明确的分离。超视界部分由曲率扰动和标量场涨落决定：两者都表现出红外增强，这是由衡量每种情况偏离尺度不变性的慢滚参数组合的倒数来测量的。费米子和引力子没有表现出红外发散性。亚视界部分完全由具有不同自旋的场的迹异常指定，并且仅由时空几何结构确定。获得了曲率和张量扰动振幅的一圈量子修正，在慢滚和(H/M_PL)^2展开中处于领先阶次。这项研究提供了包括玻色子和费米子自由度在内的直至一圈的反作用问题的完整评估。结果验证了膨胀的有效场论描述，并确认了膨胀范式对量子涨落的稳健性。量子修正的功率谱以CMB可观测量n_s、r和dn_s/dln k的形式表示。迹异常（特别是引力子部分）在一定方向上主导这些量子修正：它们增强了标量曲率涨落并减少了张量涨落。 显示英文摘要

摘要： We obtain the effective inflaton potential during slow roll inflation by including the one loop quantum corrections to the energy momentum tensor from scalar curvature and tensor perturbations as well as quantum fluctuations from light scalars and light Dirac fermions generically coupled to the inflaton. During slow roll inflation there is a clean and unambiguous separation between superhorizon and subhorizon contributions to the energy momentum tensor. The superhorizon part is determined by the curvature perturbations and scalar field fluctuations: both feature infrared enhancements as the inverse of a combination of slow roll parameters which measure the departure from scale invariance in each case.Fermions and gravitons do not exhibit infrared divergences. The subhorizon part is completely specified by the trace anomaly of the fields with different spins and is solely determined by the space-time geometry. The one-loop quantum corrections to the amplitude of curvature and tensor perturbations are obtained to leading order in slow-roll and in the (H/M_PL)^2 expansion. This study provides a complete assessment of the backreaction problem up to one loop including bosonic and fermionic degrees of freedom. The result validates the effective field theory description of inflation and confirms the robustness of the inflationary paradigm to quantum fluctuations. Quantum corrections to the power spectra are expressed in terms of the CMB observables:n_s, r and dn_s/dln k. Trace anomalies (especially the graviton part) dominate these quantum corrections in a definite direction: they enhance the scalar curvature fluctuations and reduce the tensor fluctuations.