论文标题
fermion旋转量子重力
Fermion spins in loop quantum gravity
论文作者
论文摘要
我们定义和研究涉及fermion自旋的运动学可观察物，例如在循环量子重力中的颗粒集合的总自旋。由于需要规格不变性，相关的量子状态包含重力和费米子自由度之间的牢固纠缠。有趣的是，我们发现可观察物的特性和光谱与量子力学的同行类似。但是，也有新的效果。由于重力和费米子自由度之间的纠缠，量子旋转的比对具有量化几何形状的后果。我们绘制了可能可以观察到的这种特殊效果。
We define and study kinematical observables involving fermion spin, such as the total spin of a collection of particles, in loop quantum gravity. Due to the requirement of gauge invariance, the relevant quantum states contain strong entanglement between gravity and fermionic degrees of freedom. Interestingly we find that properties and spectra of the observables are nevertheless similar to their counterparts from quantum mechanics. However, there are also new effects. Due to the entanglement between gravity and fermionic degrees of freedom, alignment of quantum spins has consequences for quantized geometry. We sketch a particular effect of this kind that may in principle be observable.
