arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 1605.04293gr-qc
收藏

早期宇宙的原始张量模

Primordial tensor modes of the early Universe

Florencia Benítez Martínez, Javier Olmedo

摘要:

本文用混合量子化方法研究了量子化背景下的宇宙学张量扰动。特别地,我们考虑了一个平坦的、均匀的、各向同性的时空和它上面的小的张量不均匀性。动力学是由一个均匀的标量约束。我们在系统中进行正则变换,其中张量扰动的哈密顿量取正则形式。新的张量模现在允许标准的Fock量子化和幺正动力学。然后,我们将这种表示与一个通用的量子计划的均匀部门。我们采用了Born-Oppenheimer模型的约束算子的解决方案,以前用于研究标量不均匀性的动力学。我们分析的近似,使我们能够恢复,一方面,薛定谔方程出现在一个类似的装扮度规的方法,另一方面,这些原始张量模式的有效演化方程的混合方法是有效的。最后,我们考虑圈量子宇宙学作为一个例子,这些量化技术可以应用和比较与其他方法。

英文摘要:

We study cosmological tensor perturbations on a quantized background within the hybrid quantization approach. In particular, we consider a flat, homogeneous and isotropic spacetime and small tensor inhomogeneities on it. We truncate the action to second order in the perturbations. The dynamics is ruled by a homogeneous scalar constraint. We carry out a canonical transformation in the system where the Hamiltonian for the tensor perturbations takes a canonical form. The new tensor modes now admit a standard Fock quantization with a unitary dynamics. We then combine this representation with a generic quantum scheme for the homogeneous sector. We adopt a Born-Oppenheimer ansatz for the solutions to the constraint operator, previously employed to study the dynamics of scalar inhomogeneities. We analyze the approximations that allow us to recover, on the one hand, a Schrödinger equation similar to the one emerging in the dressed metric approach and, on the other hand, the ones necessary for the effective evolution equations of these primordial tensor modes within the hybrid approach to be valid. Finally, we consider loop quantum cosmology as an example where these quantization techniques can be applied and compare with other approaches.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑