Spin foam models of YangMills theory coupled to gravity
Abstract
We construct a spin foam model of YangMills theory coupled to gravity by using a discretized path integral of the BF theory with polynomial interactions and the BarrettCrane 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 YangMills theory coupled to gravity.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 January 2003
 DOI:
 10.1088/02649381/20/1/317
 arXiv:
 arXiv:grqc/0210051
 Bibcode:
 2003CQGra..20..239M
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 10 pages