Palatini 暴胀吸引子的回归:可观测量的一般映射
Palatini inflationary (non-)attractors: Universal mapping of observables
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- National Institute of Chemical Physics and Biophysics(国家化学物理与生物物理学研究所)
- Tallinn University of Technology(塔林科技大学)
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中文总结 AI 辅助
本文研究 Palatini 引力中非最小耦合 ξ-吸引子的单场慢滚暴胀,发现 e-折数与 ξ 无关,从而建立非最小耦合与最小耦合可观测量间的直接映射,强耦合下张标比压低而谱指数增大。
中文摘要 AI 辅助
我们研究了在 Palatini 引力背景下,对于非最小耦合的 ξ-吸引子这一类模型,即由同一函数 f(φ) 同时确定非最小耦合 1+ξ f(φ) 和暴胀势 V(φ)=V0 f(φ)^2 的模型,其单场慢滚暴胀。众所周知,对于任意的 f(φ),e-折数在领头阶上与 ξ 无关。借此,我们提供了非最小耦合设置与最小耦合设置的可观测量之间的直接映射。在强耦合极限下,张标比如常被压低,而标量谱指数则向更大值移动,移动幅度仅取决于与原势 V(φ) 相关的张标比。
英文摘要
We study single-field slow-roll inflation in the context of Palatini gravity for the class of non-minimally coupled $ξ$-attractors, i.e.,\ models where the same function $f(ϕ)$ fixes both the non-minimal coupling, $1+ξf(ϕ)$, and the inflationary potential, $V(ϕ) = M^4 f(ϕ)^2$. For an arbitrary $f(ϕ)$, the number of $e$-folds is, at leading order, independent of $ξ$. Thanks to this, we provide an immediate mapping between the observables of the non-minimally coupled setup and those of the minimally coupled one. In the strong coupling limit, the tensor-to-scalar ratio is, as usual, suppressed, while the scalar spectral index is shifted towards larger values, with the magnitude of the shift depending only on the tensor-to-scalar ratio associated with the original potential $V(ϕ)$.