de Sitter时空中的应力能关联函数：连通Friedmann宇宙中的共形掩蔽或增长
Stress energy correlator in de Sitter space-time : its conformal masking or growth in connected Friedmann universes
摘要：
引力场的半经典物理学，在其一阶近似下（一阶近似）只关心应力能量张量的期望值，而忽略了其固有的量子涨落。另一方面，在随机引力的方法中，这些物质涨落被认为是几何涨落的来源，并且有可能使一阶半经典物理的结果变得无关紧要。我们研究对象的中心意义随机引力，即噪声内核，广泛的一类弗里德曼时空。通过de Sitter时空上的量子场与一般Friedmann宇宙上的量子场的等价性，在固定的同向运动但大的物理距离下，通过应力能量张量（SET）的分解子得到了噪声核.我们表明，在许多弗里德曼宇宙，包括膨胀的宇宙，最初的量子波动，宇宙与生俱来，可能仍然是不变的，甚至在后期的重要。此外，我们探索宇宙时空，即使在很长一段时间后，量子涨落仍然很强，并在大的物理距离上占据主导地位，物质驱动的宇宙就是一个例子。该研究在最小和非最小交互设置中进行。这种量子涨落的影响进行了讨论。
英文摘要：
Semiclassical Physics in gravitational scenario, in its first approximation (1st order) cares only for the expectation value of stress energy tensor and ignores the inherent quantum fluctuations thereof. In the approach of stochastic gravity, on the other hand, these matter fluctuations are supposed to work as the source of geometry fluctuations and have the potential to render the results from 1st order semiclassical physics irrelevant. We study the object of central significance in stochastic gravity, i.e. the noise kernel, for a wide class of Friedmann space-times. Through an equivalence of quantum fields on de Sitter space-time and those on generic Friedmann universes, we obtain the noise kernel through the correlators of Stress Energy Tensor (SET) for fixed co-moving but large physical distances. We show that in many Friedmann universes including the expanding universes, the initial quantum fluctuations, the universe is born with, may remain invariant and important even at late times. Further, we explore the cosmological space-times where even after long times the quantum fluctuations remain strong and become dominant over large physical distances, which the matter driven universe is an example of. The study is carried out in minimal as well as non-minimal interaction settings. Implications of such quantum fluctuations are discussed.
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