论文标题
$ r \ ln \ left（\ square \ right）r $ term修改的Starobinsky通货膨胀
Modified Starobinsky inflation by the $R\ln\left( \square\right) R$ term
论文作者
论文摘要
在有效的重力理论的背景下，一种极简主义的自下而上的方法，考虑到$ 1 $ - 环的量子校正会导致爱因斯坦 - 希尔伯特（Einstein-Hilbert）的修改，通过包含四个额外的术语：$ r^{2} $，$ c_ {κραβ} $ c_ {κραβ} \ ln \ left（\ square \ right）c^{κραβ} $。前两个术语对于保证重力理论的可误算能力是必要的，而最后两个术语（非本地术语）是由无质量/光质领域的整合产生的。这项工作旨在分析一个非本地术语，即$ r \ ln \ left（\ square \ right）r $如何影响Starobinsky的通货膨胀。我们将非本地术语视为对$ r^{2} $项的小校正，我们证明该模型在这种情况下的行为就像本地模型。此外，我们表明，爱因斯坦框架中的近似模型是通过最小化与一般相对论的规范标量场来描述的。最后，我们研究了该模型的通货膨胀状态，并通过观察CMB各向异性来限制其自由参数。
In the context of effective theories of gravity, a minimalist bottom-up approach which takes into account $1$-loop quantum corrections leads to modifications in the Einstein-Hilbert action through the inclusion of four extra terms: $R^{2}$, $C_{κραβ}C^{κραβ}$, $R\ln\left( \square\right) R$ and $C_{κραβ}\ln\left( \square\right) C^{κραβ}$. The first two terms are necessary to guarantee the renormalizability of the gravitational theory, and the last two terms (nonlocal terms) arise from the integration of massless/light matter fields. This work aims to analyze how one of the nonlocal terms, namely $R\ln\left( \square\right) R$, affects the Starobinsky inflation. We consider the nonlocal term as a small correction to the $R^{2}$ term, and we demonstrate that the model behaves like a local model in this context. In addition, we show that the approximate model in the Einstein frame is described by a canonical scalar field minimally coupled to general relativity. Finally, we study the inflationary regime of this model and constrain its free parameters through observations of CMB anisotropies.
