标题： 广义非最小导数耦合模型中的中间暴胀 显示英文标题

标题： Intermediate inflation in generalized non-minimal derivative coupling model

摘要： 在本工作中，我们考虑了广义非最小导数耦合（GNMDC）模型中的中间膨胀。在这个模型中，膨胀由一个规范标量场驱动，该场不仅与引力耦合，还与标量场的导数耦合。GNMDC模型在膨胀时期引入了新的动力学和特性。我们找到了适用于幂律耦合函数的幂律标量场的膨胀解。此外，我们确定了产生尺度因子中间膨胀的标量势。我们还讨论了高摩擦极限下的背景方程，并推导了我们模型参数的约束。此外，我们在GNMDC模型中研究了慢滚近似下的宇宙扰动，我们计算了中间膨胀期间标量和张量谱指数以及张量对标量比。我们比较了该模型的结果与可用于测试模型的宇宙微波背景辐射数据的观测数据。总体而言，我们建立了确保慢滚膨胀期间加速膨胀持续的标量势条件。我们数值分析了高摩擦极限下中间膨胀中标量和张量模式的功率谱和谱指数。此外，我们使用普朗克2018数据，获得了模型参数的约束。我们证明了在GNMDC模型中，中间膨胀在使用观测数据评估和解释背景和扰动量方面是成功的。 显示英文摘要

摘要： In this work, we consider intermediate inflation in context of the Generalized Non-Minimal Derivative Coupling (GNMDC) model. In this model, inflation is driven by a canonical scalar field that is coupled not only to gravity but also to the derivative of the scalar field. The GNMDC model introduces new dynamics and features during the inflationary epoch. We find inflationary solutions with a power law scalar field for the power law coupling function. Additionally, we determine the inflaton potential that generates intermediate expansion of the scale factor. We also discuss the background equations in the high friction limit and derive constraints on the parameters of our model. Furthermore, we investigate the cosmological perturbations in the slow roll approximation within the GNMDC model, We calculate the scalar and tensor spectral index and the tensor-to-scalar ratio during the intermediate inflation. We compare the results of this model with the observational data that can be used to test the model using the cosmic microwave background radiation data. Overall, we establish conditions for the inflaton potential that ensure the continuation of accelerated expansion during the slow roll inflation. We numerically analyze the power spectrum and spectral index for scalar and tensor modes in intermediate inflation in the high friction limit. Moreover, we use the Planck 2018 data, to obtain constraints on the parameters of the model. We demonstrate that intermediate inflation in the GNMDC model is successful in evaluation and explanation of the background and perturbational quantities using observational data.