Gauge gravity and discrete quantum models

John W. Barrett; Steven Kerr

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arXiv · 1309.1660

Gauge gravity and discrete quantum models

John W. Barrett·Steven Kerr

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Abstract

The gauge gravity action for general relativity in any dimension using a connection for the Euclidean or Poincaré 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.

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John W. Barrett, Steven Kerr. 2014-01-10. Gauge gravity and discrete quantum models. https://arxiv.org/abs/1309.1660

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