论文标题
弯曲充气宇宙的量子初始条件
Quantum initial conditions for curved inflating universes
论文作者
论文摘要
我们讨论激励，构建和量化空间弯曲宇宙中规范归一化通货膨胀扰动的挑战。我们表明，由于非绝热性与空间曲率的相互作用，这在历史上已被证明是具有挑战性的。我们构建了一种新型的曲率扰动，该扰动以其运动方程式在规范上归一化，并且是独特的，直至单个标量参数。通过这种结构，有可能在规范转换下设置初始条件不变，从而克服了文献中的已知歧义。该校正后的量化通过对大角度尺度的原始功率谱进行修改以及对曲线宇宙学中量化量表的量化程序的理论含义以及理论上的含义具有潜在的观察后果。
We discuss the challenges of motivating, constructing, and quantizing a canonically normalized inflationary perturbation in spatially curved universes. We show that this has historically proved challenging due to the interaction of nonadiabaticity with spatial curvature. We construct a novel curvature perturbation that is canonically normalized in the sense of its equation of motion and is unique up to a single scalar parameter. With this construction it becomes possible to set initial conditions invariant under canonical transformations, overcoming known ambiguities in the literature. This corrected quantization has potentially observational consequences via modifications to the primordial power spectrum at large angular scales, as well as theoretical implications for quantization procedures in curved cosmologies filled with a scalar field.
