A Miković 2003 Class. Quantum Grav. 20 239 doi:10.1088/0264-9381/20/1/317
A Miković
Show affiliationsWe 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 Barrett–Crane ansatz. In the Euclidean gravity case, we obtain a vertex amplitude which is determined by a vertex operator acting on a simple spin network function. The Euclidean 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.
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
Issue 1 (7 January 2003)
Received 22 October 2002
Published 16 December 2002
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