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自旋-引力子-自旋:量子引力的独特探针

Spin-Graviton-Spin: a unique probe of quantum gravity

Radmehr Fathi, Nima Khosravi

arXiv 2608.28901首次发表:更新:

发表机构

Sharif University of Technology(谢里夫理工大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文提出利用四部分纠缠框架,通过计算自旋1/2粒子相互作用中自旋2引力子的偶极-偶极相互作用特征,作为量子引力的独特探针。

AI 中文摘要

量子引力的存在是理论物理学中最重要的问题。除了该方向的理论发展,探寻其低能效应可提供线索。但除了可观测性,关键是要确保观测到的现象唯一源自量子引力,而非环境中的其他力。引力的独特特征是什么?是其传播子的自旋2性质。本文中,我们计算了两个自旋1/2粒子相互作用中自旋2引力子的独特特征,该特征表现为将两个粒子的自旋与动量同时耦合,形成偶极-偶极相互作用,这在实空间中领头阶时,自旋0或自旋1传播子无法实现,其领头阶标度为1/r³。我们采用独立方法即Foldy-Wouthuysen变换重新计算结果,得到了相同结论。由于同时耦合两个粒子的自旋与动量,本文提出四部分纠缠框架来观测该效应。

英文摘要

The existence of quantum gravity is the most important question in theoretical physics. Besides the theoretical development in this direction, looking for its low-energy consequences can provide clues. However, besides availability, it is crucial to ensure that what is observed uniquely comes from quantum gravity and not from other forces in the environment. What is the unique feature of gravity? The spin-$2$ nature of its propagator. In this Letter, we calculate what the unique feature of the spin-$2$ graviton is in the interaction of two spin-$\frac{1}{2}$ particles. This unique feature shows itself in intertwining the spin and momentum of two particles simultaneously as a dipole-dipole interaction. This cannot happen for any spin-$0$ or spin-$1$ propagator, at least at leading order, which scales as $\frac{1}{r^3}$ in real space. We re-calculate the results using an independent approach, i.e., the Foldy-Wouthuysen transformation, and reach the same results. Due to simultaneous coupling of both particles' spins and momenta, a four-partite entanglement framework is suggested to observe this effect.

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