Spin Foam Models of Yang-Mills Theory Coupled to Gravity

Details Spin Foam Models of Yang-Mills Theory Coupled to Gravity Spin Foam Models of Yang-Mills Theory Coupled to Gravity

2002-10-16

arxiv.org/abs/gr-qc/0210051v1

Class.Quant.Grav.20:239-246,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

10.1088/0264-9381/20/1/317

We construct a spin foam model of Yang-Mills theory coupled to gravity by using a discretized path integral of the BF theory with polynomial interactions and the Barret-Crane ansatz. In the Euclidian gravity case we obtain a vertex amplitude which is determined by a vertex operator acting on a simple spin network function. The Euclidian gravity results can be straightforwardly extended to the Lorentzian case, so that we propose a Lorentzian spin foam model of Yang-Mills theory coupled to gravity.

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