Pauli排斥原理与SU(2)与SO(3)在环量子引力中的关系
广义相对论与量子宇宙学
2007-05-23 v1
摘要
最近的尝试解决环量子引力中面积量化描述的歧义，导致了这样一种观点，即j=1的边缘在黑洞面积贡献中占主导地位，而与此相反，j=1/2的边缘在直觉上应该占主导。这暗示了可能涉及的真实规范群是SO(3)而非SU(2)，这会带来诸多困难。我们认为，假设环量子引力中存在Pauli原理的一个版本，允许保持SU(2)作为规范群，同时仍然自然地实现对j=1/2缝隙的抑制。面积来自j=1缝隙，而非j=1/2缝隙，主要的原因与光子导致宏观可观测场相似，而电子不导致宏观可观测场的原因相同。
引用
@article{arxiv.gr-qc/0401122,
title = {The Pauli Exclusion Principle and SU(2) Versus SO(3) in Loop Quantum Gravity},
author = {John Swain},
journal= {arXiv preprint arXiv:gr-qc/0401122},
year = {2007}
}
备注
An earlier paper (gr-qc/0305073) with a slightly different title received an "honorable mention" in the 2003 Essay Competition of the Gravity Research Foundation. This paper argues from geometric quantization for a spin-statistics connection even when the SU(2) under consideration to define ``spin'' is not that of rotations in 3 space dimensions