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http://arxiv.org/abs/1004.2260
The new vertices and canonical quantization
Sergei Alexandrov
(Submitted on 13 Apr 2010)
We present two results on the recently proposed new spin foam models. First, we show how a (slightly modified) restriction on representations in the EPRL model leads to the appearance of the Ashtekar-Barbero connection, thus bringing this model even closer to LQG. As our second result, we however demonstrate that the quantization leading to the new models is completely inconsistent since it relies on the symplectic structure of the unconstraint BF theory.
The new vertices and canonical quantization
Sergei Alexandrov
(Submitted on 13 Apr 2010)
We present two results on the recently proposed new spin foam models. First, we show how a (slightly modified) restriction on representations in the EPRL model leads to the appearance of the Ashtekar-Barbero connection, thus bringing this model even closer to LQG. As our second result, we however demonstrate that the quantization leading to the new models is completely inconsistent since it relies on the symplectic structure of the unconstraint BF theory.