Canonical Gravity with Fermions
General Relativity and Quantum Cosmology
2008-11-07 v2 High Energy Physics - Theory
Abstract
Canonical gravity in real Ashtekar-Barbero variables is generalized to allow for fermionic matter. The resulting torsion changes several expressions in Holst's original vacuum analysis, which are summarized here. This in turn requires adaptations to the known loop quantization of gravity coupled to fermions, which is discussed on the basis of the classical analysis. As a result, parity invariance is not manifestly realized in loop quantum gravity.
Cite
@article{arxiv.0710.5722,
title = {Canonical Gravity with Fermions},
author = {Martin Bojowald and Rupam Das},
journal= {arXiv preprint arXiv:0710.5722},
year = {2008}
}
Comments
17 pages; v2: new discussion of parity, more general non-minimal coupling, less details of constraint analysis