中文

Spin Networks in Nonperturbative Quantum Gravity

广义相对论与量子宇宙学 2010-07-27 v2

摘要

A spin network is a generalization of a knot or link: a graph embedded in space, with edges labelled by representations of a Lie group, and vertices labelled by intertwining operators. Such objects play an important role in 3-dimensional topological quantum field theory, functional integration on the space A/G of connections modulo gauge transformations, and the loop representation of quantum gravity. Here, after an introduction to the basic ideas of nonperturbative canonical quantum gravity, we review a rigorous approach to functional integration on A/G in which L^2(A/G) is spanned by states labelled by spin networks. Then we explain the `new variables' for general relativity in 4-dimensional spacetime and describe how canonical quantization of gravity in this formalism leads to interesting applications of these spin network states.

关键词

引用

@article{arxiv.gr-qc/9504036,
  title  = {Spin Networks in Nonperturbative Quantum Gravity},
  author = {John C. Baez},
  journal= {arXiv preprint arXiv:gr-qc/9504036},
  year   = {2010}
}

备注

41 pages in LaTeX