The new vertices and canonical quantization
General Relativity and Quantum Cosmology
2012-10-12 v3
Abstract
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. Second, we however argue that the quantization procedure used to derive the new models is inconsistent since it relies on the symplectic structure of the unconstraint BF theory.
Keywords
Cite
@article{arxiv.1004.2260,
title = {The new vertices and canonical quantization},
author = {Sergei Alexandrov},
journal= {arXiv preprint arXiv:1004.2260},
year = {2012}
}
Comments
16 pages, 1 figure; added subsection on ordering of Casimir operators, more details on imposing simplicity constraints