论文标题
$ \ MATHCAL {R}^2 $量子更正的标量字段通货膨胀
$\mathcal{R}^2$ Quantum Corrected Scalar Field Inflation
论文作者
论文摘要
弦理论在量子重力理论中具有较高的作用，因为它似乎是一般相对论和标准模型的最一致的紫外线完成。但是，很难验证这种基本理论在陆地加速器上的存在。探测字符串理论的一种方法是研究其对低能通货膨胀Lagrangian的烙印，这些烙印是根据高能量校正术语进行量化的。因此，很有可能找到与字符串模量结合的高阶曲率项，即标量字段，因为这两种类型的相互作用和物质字段都出现在字符串理论中。在这项工作中，我们旨在强调通货膨胀动力学由标量场的协同作用和高阶曲率项控制的概率。具体而言，我们将考虑一个动机良好的量子校正的规范标量场理论，其量子校正是$ \ MATHCAL {R}^2 $类型的量子。选择最小耦合标量理论的原因基本上是因为如果在真空构型中评估标量场，则它们将是最小的耦合或共同耦合的。在这里，我们选择了以前的案例，整个研究应在弦框架（约旦框架）中进行，与文献中的类似研究相比，爱因斯坦框架的两个标量尺度理论。我们在领先顺序上得出了量子校正理论的场方程，并介绍了量子校正理论获得的慢速索引的形式。我们通过使用二次通货膨胀模型来体现我们的理论框架，并且正如我们所显示的那样，与简单的四次膨胀模型相比，$ \ natercal {r}^2 $量子校正的二次通胀模型会产生可行的通货膨胀现象学。
String theory enjoys an elevated role among quantum gravity theories, since it seems to be the most consistent UV completion of general relativity and the Standard Model. However, it is hard to verify the existence of this underlying theory on terrestrial accelerators. One way to probe string theory is to study its imprints on the low-energy effective inflationary Lagrangian, which are quantified in terms of high energy correction terms. It is highly likely, thus, to find higher order curvature terms combined with string moduli, that is scalar fields, since both these types of interactions and matter fields appear in string theory. In this work we aim to stress the probability that the inflationary dynamics are controlled by the synergy of scalar fields and higher order curvature terms. Specifically, we shall consider a well motivated quantum corrected canonical scalar field theory, with the quantum corrections being of the $\mathcal{R}^2$ type. The reason for choosing minimally coupled scalar theory is basically because if scalar fields are evaluated in their vacuum configuration, they will either be minimally coupled or conformally coupled. Here we choose the former case, and the whole study shall be performed in the string frame (Jordan frame), in contrast to similar studies in the literature where the Einstein frame two scalar theory is considered. We derive the field equations of the quantum-corrected theory at leading order and we present the form the slow-roll indices obtain for the quantum corrected theory. We exemplify our theoretical framework by using the quadratic inflation model, and as we show, the $\mathcal{R}^2$ quantum corrected quadratic inflation model produces a viable inflationary phenomenology, in contrast with the simple quadratic inflation model.
