Quantization of diffeomorphism invariant theories of connections with a non-compact structure group - an example
General Relativity and Quantum Cosmology
2013-04-02 v2
Abstract
A simple diffeomorphism invariant theory of connections with the non-compact structure group R of real numbers is quantized. The theory is defined on a four-dimensional 'space-time' by an action resembling closely the self-dual Plebanski action for general relativity. The space of quantum states is constructed by means of projective techniques by Kijowski. Except this point the applied quantization procedure is based on Loop Quantum Gravity methods.
Keywords
Cite
@article{arxiv.gr-qc/0605138,
title = {Quantization of diffeomorphism invariant theories of connections with a non-compact structure group - an example},
author = {Andrzej Okolow},
journal= {arXiv preprint arXiv:gr-qc/0605138},
year = {2013}
}
Comments
59 pages, no figures, LaTeX2e, this is a shortened version published in Comm. Math. Phys