标题： 黎曼 Barrett-Crane 穿插子的系统推导 显示英文标题

标题： A Systematic Derivation of the Riemannian Barrett-Crane Intertwiner

摘要： 黎曼广义相对论的Barrett-Crane纠缠子是通过求解对应于四面体（除非退化条件外）的量子Barrett-Crane约束而系统地推导出来的。 Reisenberger证明了Barrett-Crane纠缠子是唯一的解。 系统的推导可以视为对唯一性的另一种证明。 推导中的新元素是对交叉简单性约束的严格施加。 显示英文摘要

摘要： The Barrett-Crane intertwiner for the Riemannian general relativity is systematically derived by solving the quantum Barrett-Crane constraints corresponding to a tetrahedron (except for the non-degeneracy condition). It was shown by Reisenberger that the Barrett-Crane intertwiner is the unique solution. The systematic derivation can be considered as an alternative proof of the uniqueness. The new element in the derivation is the rigorous imposition of the cross-simplicity constraint.