论文标题
Witten Spinor Hamiltonian配方可以描述GR角动量吗？
Can Witten spinor Hamiltonian formulation describe the GR angular momentum?
论文作者
论文摘要
先前已证明Witten Spinor Hamiltonian配方能够为GR能量弹药产生准定位，当旋转器满足Witten方程时，可以导致正能的证明。在这项工作中，我们研究了该公式是否还可以描述GR角动量。我们根据Witten的方案构想了四个二次旋转型汉密尔顿的候选者。第一个是通过将旋转伪驱动参数化代替Witten Hamiltonian中位移的旋转矢量参数化来获取的。其他三个由其他二次旋转术语组成，所有词的位移包括由反对称的2级张量和位置向量的旋转参数化组成，一个具有4个术语，其他则具有4个术语的两倍不同。在时空周围可能的场扰动中，我们发现这四个候选者都无法给出角动量准定位。讨论了成功的重要性和前景，包括维滕形式主义中的角度动力。
The Witten spinor Hamiltonian formulation has previously been shown to be able to yield a quasilocalization for the GR energy-momentum which leads to a proof of the positive energy when the spinor satisfies the Witten equation. In this work we investigate whether this formulation can also describe the GR angular momentum. We conceive four candidates of the quadratic spinor Hamiltonian for the angular momentum based on Witten's scheme. The first one is acquired by substituting the spinor pseudovectorial parameterization for the spinor vectorial parameterization of the displacement in the Witten Hamiltonian. The other three each are composed of other quadratic spinor terms, all with the displacement consisting of the spinor parameterization of an antisymmetric 2-rank tensor and a position vector, one having 4 terms and the others each having twice distinct 2 of the 4 terms. With possible field perturbations around the at spacetime we find none of the four candidates can give the angular momentum quasilocalization. The importance and prospects for successfully including the angular momentum in Witten's formalism are discussed.
