Gauge gravity and discrete quantum models
General Relativity and Quantum Cosmology
2014-01-13 v2
Abstract
The gauge gravity action for general relativity in any dimension using a connection for the Euclidean or Poincar\'e group and a symmetry-breaking scalar field is written using a particularly simple matrix technique. A discrete version of the gauge gravity action for variables on a triangulated 3-manifold is given and it is shown how, for a certain class of triangulations of the three-sphere, the discrete quantum model this defines is equivalent to the Ponzano-Regge model of quantum gravity.
Keywords
Cite
@article{arxiv.1309.1660,
title = {Gauge gravity and discrete quantum models},
author = {John W. Barrett and Steven Kerr},
journal= {arXiv preprint arXiv:1309.1660},
year = {2014}
}
Comments
17 pages. v2: typos corrected