圈量子宇宙学中宇宙学扰动的含时质量：Dapor-Liegener正则化
The time-dependent mass of cosmological perturbations in loop quantum cosmology: Dapor-Liegener regularization
摘要：
在这项工作中，我们计算的时间依赖的质量，统治的标量和张量扰动的动态传播的有效平坦，均匀，各向同性的背景下的循环量子宇宙学的框架内，根据Dapor和Liegener提出的程序进行正则化。要做到这一点，我们遵循两个主要的方法，在圈量子宇宙学领域，导致双曲方程的紫外线部门的扰动：混合和穿着度量形式主义。这使我们能够比较这两种方案产生的质量，并分析它们在物理感兴趣的区域中的正性：大反弹和渐近过去的收缩de Sitter阶段，这是所考虑模型的定义特征。
英文摘要：
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.
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