论文标题
循环量子宇宙学中的时间依赖性宇宙学扰动：Dapor-Liegener正则化
The time-dependent mass of cosmological perturbations in loop quantum cosmology: Dapor-Liegener regularization
论文作者
论文摘要
在这项工作中，我们计算了在Loop Quantum宇宙学的框架内根据Dapor和Liegener提出的程序正规化的，在有效的平坦，均匀和各向同性的背景下传播标量和张量扰动的动力学的时间相关质量。为此，我们遵循两种主要方法，这些方法在循环量子宇宙学领域导致紫外线扰动的双曲线方程：混合和着装的度量形式主义。这使我们能够比较提案所产生的群众，并分析其在身体感兴趣的制度中的积极性：在渐近造型过去的大反弹和合同的定位阶段，这是所考虑模型的定义特征。
In this work, we compute the time-dependent masses that govern the dynamics of scalar and tensor perturbations propagating on an effective flat, homogeneous, and isotropic background within the framework of loop quantum cosmology, regularized according to the procedure put forward by Dapor and Liegener. To do so, we follow the two main approaches that, in the field of loop quantum cosmology, lead to hyperbolic equations for the perturbations in the ultraviolet sector: the hybrid and dressed metric formalisms. This allows us to compare the masses resulting from both proposals and analyze their positivity in regimes of physical interest: the big bounce and the contracting de Sitter phase in the asymptotic past that is a defining feature of the model under consideration.
