标题： （多场）自然暴胀与引力波 显示英文标题

标题： (Multi-field) Natural Inflation and Gravitational Waves

摘要： 我们对具有周期性非最小耦合的自然暴胀进行了详细研究，这是一个有充分动机的暴胀模型，它允许显式的紫外完成。 我们证明了这种构造可以满足普朗克和BICEP/Keck合作组的最新观测约束。 我们还计算了由于张量扰动引起的残留引力波背景，并表明未来的空间干涉仪，如DECIGO、BBO和ALIA，可能能够探测到它。 接下来，我们扩展了这一分析，并在作用量中额外包含一个$R^2$项的多场模型中建立了这些结果的有效性，这使我们能够在自然暴胀和标量子（即Starobinsky）暴胀之间进行插值。 我们研究了上述未来干涉仪能够区分纯自然暴胀和自然-标量子暴胀的条件。 后者的分析可能为通过引力波观测在更一般的情况下区分单场和多场暴胀打开大门。 显示英文摘要

摘要： We provide a detailed study of natural inflation with a periodic non-minimal coupling, which is a well-motivated inflationary model that admits an explicit UV completion. We demonstrate that this construction can satisfy the most recent observational constraints from Planck and the BICEP/Keck collaborations. We also compute the corresponding relic gravitational wave background due to tensor perturbations and show that future space-borne interferometers, such as DECIGO, BBO and ALIA, may be able to detect it. Next, we extend this analysis and establish the validity of these results in a multi-field model featuring an additional $R^2$ term in the action, which allows us to interpolate between natural and scalaron (a.k.a.~Starobinsky) inflation. We investigate the conditions under which the aforementioned future interferometers will have the capability to differentiate between pure natural inflation and natural-scalaron inflation. The latter analysis could open the door to distinguishing between single-field and multi-field inflation through gravitational wave observations in more general contexts.