膨胀宇宙时空中大质量玻色子零模的探测
Detecting the massive bosonic zero-mode in expanding cosmological spacetimes
摘要：
我们研究了$(1+1)$维空间紧凑宇宙时空中的量子化大质量标量场，在该时空中，早期和晚期的膨胀定律提供了Fock“in”和“out”真空的区别定义，可能的例外是空间恒定的扇区，它可能在早期或晚期变得有效地无质量。我们表明，概括福特和Pathinayake的工作，当这样一个大规模的零模式发生时，在各自的“在”和“出”状态的自由是一个家庭有两个真正的参数。作为应用，我们考虑了$(1+1)$维空间紧致Milne时空中的质量无扭和有扭标量场，其中无扭场具有质量“in”零模。我们证明，通过分析和数值方法相结合，大规模的“在”零模式状态的选择有显着的影响，特别是在激发部分的频谱上的惯性Unruh-DeWitt检测器的响应。探测器相对于同向运动的宇宙观测者的特殊速度在无扭曲场的“真空”中具有最强的影响，在那里它将激发和去激发共振向探测器能隙的更高值移动。
英文摘要：
We examine a quantised massive scalar field in $(1+1)$-dimensional spatially compact cosmological spacetimes in which the early time and late time expansion laws provide distinguished definitions of Fock "in" and "out" vacua, with the possible exception of the spatially constant sector, which may become effectively massless at early or late times. We show, generalising the work of Ford and Pathinayake, that when such a massive zero mode occurs, the freedom in the respective "in" and "out" states is a family with two real parameters. As an application, we consider massive untwisted and twisted scalar fields in the $(1+1)$-dimensional spatially compact Milne spacetime, where the untwisted field has a massive "in" zero mode. We demonstrate, by a combination of analytic and numerical methods, that the choice of the massive "in" zero mode state has a significant effect on the response of an inertial Unruh-DeWitt detector, especially in the excitation part of the spectrum. The detector's peculiar velocity with respect to comoving cosmological observers has the strongest effect in the "in" vacuum of the untwisted field, where it shifts the excitation and de-excitation resonances towards higher values of the detector's energy gap.
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