AI 中文总结
本研究针对新近提出的宇宙反弹模型，构建了有效作用量非局域部分的低能版本，借助辅助标量实现局域化以避免高阶导数，为探索原初宇宙学扰动奠定了基础。
AI 中文摘要
在新近提出的场景中，宇宙反弹的发生源于初始收缩的宇宙并非空无一物。在靠近奇点的区域，宇宙的物质组分升温并有效转化为辐射。若物质领域的整体β函数为正，迹反常会自动引发反弹。暂且不论量子场论方面尚存的未决问题，从宇宙学视角考量该模型颇具意义。本研究中，我们构建了通用形式体系，这是探索原初宇宙学扰动的必要步骤。主要技术进展是构建了有效作用量非局域部分的低能版本，该作用量的完整形式可借助两个辅助标量实现局域化。在我们的新版本中，标量数量更多，但这能避免出现高阶导数。
英文摘要
In the recently proposed scenario, the cosmological bounce occurs because the initially contracting Universe is not empty. In the region close to singularity, matter contents of the Universe heat up and effectively become radiation. Then, the trace anomaly automatically provides bounce if the overall beta function in the matter sector is positive. Independent of the remaining open questions on the quantum field theory side, it is interesting to consider this model from the cosmological perspective. In the present work, we develop the general formalism which is a necessary step for exploring the primordial cosmological perturbations. The main technical development is the formulation of the low-energy version for the nonlocal part of the effective action. The complete form of this action can be done local using two auxiliary scalars. In our new version, there are more scalars, but this enables one to avoid higher derivatives.
Comments21 pages, 3 figures
