Simple Spin Networks as Feynman Graphs
高能物理 - 理论
2009-10-31 v3 广义相对论与量子宇宙学
数学物理
math.MP
摘要
We show how spin networks can be described and evaluated as Feynman integrals over an internal space. This description can, in particular, be applied to the so-called simple SO(D) spin networks that are of importance for higher-dimensional generalizations of loop quantum gravity. As an illustration of the power of the new formalism, we use it to obtain the asymptotics of an amplitude for the D-simplex and show that its oscillatory part is given by the Regge action.
引用
@article{arxiv.hep-th/9903192,
title = {Simple Spin Networks as Feynman Graphs},
author = {Laurent Freidel and Kirill Krasnov},
journal= {arXiv preprint arXiv:hep-th/9903192},
year = {2009}
}
备注
13 pages, no figures; few typos corrected