论文标题
哈密顿的古典和量子量规理论不变扰动I
Hamiltonian theory of classical and quantum gauge invariant perturbations in Bianchi I spacetimes
论文作者
论文摘要
我们得出了对各向异性bianchi I SpaceTime中规范，线性扰动理论的哈密顿公式，并描述了如何量化该系统。物质内容被认为是具有潜在$ V（ϕ）$的最小耦合标量字段。我们表明，Bianchi I的时空通常会在宇宙扰动上引起各向异性和量子纠缠，并提供计算这些功能细节的工具。然后，我们将这种形式主义应用于通货膨胀时代先于各向异性bianchi i阶段的情况，并讨论可观察数量的潜在烙印。这里发展的形式主义铺平了对同质自由程度和扰动程度的同时规范量化的道路，这是我们在同伴论文中制定的任务。
We derive a Hamiltonian formulation of the theory of gauge invariant, linear perturbations in anisotropic Bianchi I spacetimes, and describe how to quantize this system. The matter content is assumed to be a minimally coupled scalar field with potential $V(ϕ)$. We show that a Bianchi I spacetime generically induces both anisotropies and quantum entanglement on cosmological perturbations, and provide the tools to compute the details of these features. We then apply this formalism to a scenario in which the inflationary era is preceded by an anisotropic Bianchi I phase, and discuss the potential imprints in observable quantities. The formalism developed here paves the road to a simultaneous canonical quantization of both the homogeneous degrees of freedom and the perturbations, a task that we develop in a companion paper.
