标量场与曲率之间非最小耦合引起的暴胀模型修正
Corrections to inflationary models induced by non-minimal coupling between scalar field and curvature
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中文总结 AI 辅助
研究标量场与曲率非最小耦合引起的暴胀模型修正，通过特定参数化，分析其对暴胀阶段及再加热阶段的影响，基于张量与标量比展开对标量场暴胀情形分类，可涵盖著名暴胀模型。
中文摘要 AI 辅助
本文基于标量场与曲率之间非最小耦合的特定参数化，考虑对暴胀模型特征的可能修正。在暴胀阶段，这些修正导致标量场势的变形以及宇宙学微扰参数确定中的相应偏差。同时表明，所提出的参数化给出了与标量场和曲率之间最小耦合的爱因斯坦引力情形完全类似的再加热阶段动力学描述。对于由非最小耦合引起的暴胀修正的与模型无关的分析，考虑了基于张量与标量比对标量微扰谱指数的依赖关系的级数展开对标量场暴胀情形的分类。还表明这种方法允许将著名的暴胀模型作为特殊情况包含在内。
英文摘要
In this paper, we consider possible corrections to the characteristics of inflationary models based on a specific parametrization of the non-minimal coupling between the scalar field and curvature. At the inflationary stage, these corrections lead to a deformation of the scalar field potential and a corresponding deviation in the determination of the cosmological perturbation parameters. At the same time, it is shown that the proposed parametrization yields a description of the reheating stage dynamics completely analogous to the case of Einstein gravity with minimal coupling between the scalar field and curvature. For a model-independent analysis of inflationary corrections induced by a non-minimal coupling, a classification of inflationary scenarios based on the expansion in series of the dependence of the tensor-to-scalar ratio on the spectral index of scalar perturbations is considered. It is also shown that this approach allows for the inclusion of well-known inflationary models as special cases.
