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Spin Foam Models of Yang-Mills Theory Coupled to Gravity

A. Mikovic
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Abstract

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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A. Mikovic. 2002-10-16. Spin Foam Models of Yang-Mills Theory Coupled to Gravity. https://doi.org/10.1088/0264-9381%2F20%2F1%2F317

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