论文标题
让有效的通胀流理论:红色/蓝色张量倾斜的模型的随机生成
Let Effective Field Theory of Inflation flow: stochastic generation of models with red/blue tensor tilt
论文作者
论文摘要
我们将流动方程的方法扩展到通货膨胀的有效现场理论框架,以便研究非常广泛的通货膨胀模型的可观察到的预测。将注意力集中在重力波领域上,我们得出了有效模型一致性关系的一般表达,并提供了数值实现,该实现允许研究生成的模型如何填充$(R,NT)$平面。我们分析了$ 5 \ times 10^{4} $实现通货膨胀方案的实现,这些方案尊重无效状态($ε> 0 $)和$ 5 \ times 10^{4} $实现违反它的实现($ε> 0 $)。在这两种情况下,有90%的可行模型低于Planck和Bicep2/Keck Array BK15数据的张量比比率的最新上限:$ R_ {0.002} <0.056 <0.056 $ in 95%Cl。我们发现,具有$ε> 0 $的一般EFT通货膨胀模型通常以$ n_ {t} <0 $为特征,而绝大多数NEC抗侵入模型都呈现蓝色倾斜频谱($ n_ {t}> 0 $)。由于蓝色张量光谱指数意味着在小尺度上有更多的功率,因此,考虑到可能直接检测原始重力波背景的直接检测,该结果引起了极大的兴趣。
We extend the method of Flow Equations to the Effective Field Theory framework of inflation, in order to investigate the observable predictions of a very broad class of inflationary models. Focusing our attention on the gravitational-wave sector, we derive a general expression for the consistency relation for effective models and provide a numerical implementation which allows to study how the generated models populate the $(r,nt)$ plane. We analyse $5 \times 10^{4}$ realizations of inflationary scenarios that respect the Null-Energy Condition ($ε> 0$) and $5 \times 10^{4}$ realizations that violate it ($ε> 0$). In both cases, 90% of the viable models are below the most recent upper bound on the tensor-to-scalar ratio from Planck and BICEP2/Keck Array BK15 data: $r_{0.002} < 0.056$ at 95 % CL. We find that general EFT inflationary models with $ε> 0$ are typically characterized by $n_{t} < 0$, whereas the vast majority of NEC-violating models presents a blue-tilted spectrum ($n_{t} > 0$). Since a blue tensor spectral index implies more power on small scales, this result is of considerable interest in view of a possible direct detection of the primordial gravitational-wave background.