论文标题
量子场理论中罗伯逊不平等保证的因果关系和互补性之间的一致性
Consistency between causality and complementarity guaranteed by the Robertson inequality in quantum field theory
论文作者
论文摘要
长期以来，是否应量化重力。最近，[Sci。 Rep。6，22777（2016）; Proc。纳特。学院。科学。美国106，3035（2009）]讨论了涉及大量/带电物体的量子叠加的Gedankenexperiment的因果关系和互补性之间的不一致，Belenchia等人。 [物理。 Rev. D 98，126009（2018）; int。 J. Mod。物理。 D 28，1943001（2019）]通过需要重力/电磁场的量子辐射和真空波动来解决不一致。根据量子场理论，我们受到他们的作品的刺激，重新分析了两种物理特性，因果关系和互补性之间的一致性。在此分析中，我们考虑了受[Sci启发的Gedankenexperiment。 Rep。6，22777（2016）; Proc。纳特。学院。科学。美国106，3035（2009）;物理。 Rev. D 98，126009（2018）; int。 J. Mod。物理。 D 28，1943001（2019）]，其中两个带电的颗粒与光子场相结合的两个轨迹叠加。首先，我们观察到，光子场的传播迟缓得到了因果关系。接下来，通过引入可见性和哪个路径信息之间的不等式，我们表明光子场的量子辐射和真空波动可确保互补性。我们进一步发现，与光子场有关的罗伯逊不平等导致我们的gedankenexperiment因果关系与互补性之间的一致性。最后，我们提到的是，重力的量子场出现了类似的特征。
It has long been debated whether gravity should be quantized or not. Recently, the authors in [Sci. Rep. 6, 22777 (2016); Proc. Natl. Acad. Sci. U.S.A. 106, 3035 (2009)] discussed the inconsistency between causality and complementarity in a Gedankenexperiment involving the quantum superposition of massive/ charged bodies, and Belenchia et al. [Phys. Rev. D 98, 126009 (2018); Int. J. Mod. Phys. D 28, 1943001 (2019)] resolved the inconsistency by requiring the quantum radiation and vacuum fluctuations of gravitational/electromagnetic field. Stimulated by their works, we reanalyze the consistency between the two physical properties, causality and complementarity, according to the quantum field theory. In this analysis, we consider a Gedankenexperiment inspired by [Sci. Rep. 6, 22777 (2016); Proc. Natl. Acad. Sci. U.S.A. 106, 3035 (2009); Phys. Rev. D 98, 126009 (2018); Int. J. Mod. Phys. D 28, 1943001 (2019)], in which two charged particles coupled with a photon field are in a superposition of two trajectories. First, we observe that causality is satisfied by the retarded propagation of the photon field. Next, by introducing an inequality between visibility and which-path information, we show that the quantum radiation and vacuum fluctuations of the photon field ensure complementarity. We further find that the Robertson inequality associated with the photon field leads to the consistency between causality and complementarity in our Gedankenexperiment. Finally, we mention that a similar feature appears in the quantum field of gravity.
