Spin Networks and Recoupling in Loop Quantum Gravity
广义相对论与量子宇宙学
2009-10-30 v1
摘要
I discuss the role played by the spin-network basis and recoupling theory (in its graphical tangle-theoretic formulation) and their use for performing explicit calculations in loop quantum gravity. In particular, I show that recoupling theory allows the derivation of explicit expressions for the eingenvalues of the quantum volume operator. An important side result of these computations is the determination of a scalar product with respect to which area and volume operators are symmetric, and the spin network states are orthonormal.
引用
@article{arxiv.gr-qc/9701041,
title = {Spin Networks and Recoupling in Loop Quantum Gravity},
author = {Roberto De Pietri},
journal= {arXiv preprint arXiv:gr-qc/9701041},
year = {2009}
}
备注
8 pages, LaTeX3e, To appear in the Proceedings of the 2nd Conference on Constrained Dynamics and Quantum Gravity, Santa Margherita, Italy, 17-21 September 1996