Spacetime curvature in terms of scalar field propagators
Spacetime curvature in terms of scalar field propagators
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标量场传播器的时空曲率
DOI：
10.1103/physrevd.93.045026
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发表时间：
2015
影响因子：
5
通讯作者：
Achim Kempf
中科院分区：
文献类型：
--
作者：
M. Saravani;S. Aslanbeigi;Achim Kempf
我们展示了如何量子场可以用来测量时空的曲率。特别是，我们发现，只要知道时空曲率在量子场的量子化子中留下的印记，原则上就足以重建度规。然后，我们考虑的可能性，量子场服从自然紫外截止，例如，在普朗克尺度。我们调查如何这样的截止限制的空间分辨率与曲率可以推导出量子场的性质。我们发现，从量子相关器推导出的度规表现出一种特殊的标度行为的自然紫外截止的规模接近。
We show how quantum fields can be used to measure the curvature of spacetime. In particular, we find that knowledge of the imprint that spacetime curvature leaves in the correlators of quantum fields suffices, in principle, to reconstruct the metric. We then consider the possibility that the quantum fields obey a natural ultraviolet cutoff, for example, at the Planck scale. We investigate how such a cutoff limits the spatial resolution with which curvature can be deduced from the properties of quantum fields. We find that the metric deduced from the quantum correlator exhibits a peculiar scaling behavior as the scale of the natural UV cutoff is approached.