Kinematical Hilbert Space for Einstein-Cartan Theory
General Relativity and Quantum Cosmology
2013-12-10 v2 Mathematical Physics
math.MP
Abstract
Kinematical Hilbert space for Einstein-Cartan theory is constructed via von Neumann ideas of infinity-dimensional tensor product of Hilbert spaces. Field of comframe is considered as basic variable what is in contrast with standard euclidean LQG which is build by Wilson loops of Ashtekar-Barbero-Immirzi connection.
Cite
@article{arxiv.1312.0268,
title = {Kinematical Hilbert Space for Einstein-Cartan Theory},
author = {Marián Pilc},
journal= {arXiv preprint arXiv:1312.0268},
year = {2013}
}
Comments
21 pages