A rigorous solution of the quantum Einstein equations
广义相对论与量子宇宙学
2009-12-30 v1 高能物理 - 格点
高能物理 - 理论
量子代数
q-alg
摘要
We show that the second coefficient of the Conway knot polynomial is annihilated by the Hamiltonian constraint of canonically quantized general relativity in the loop representation. The calculations are carried out in a fully regularized lattice framework. Crucial to the calculation is the explicit form of the skein relations of the second coefficient, which relate it to the Gauss linking number. Contrary to the lengthy formal continuum calculation, the rigorous lattice version can be summarized in a few pictures.
关键词
引用
@article{arxiv.gr-qc/9511042,
title = {A rigorous solution of the quantum Einstein equations},
author = {Rodolfo Gambini and Jorge Pullin},
journal= {arXiv preprint arXiv:gr-qc/9511042},
year = {2009}
}
备注
4 pages, Revtex, four figures included with epsf