# Canonical gravity with fermions

@article{Bojowald2008CanonicalGW, title={Canonical gravity with fermions}, author={Martin Bojowald and Rupam Das}, journal={Physical Review D}, year={2008}, volume={78}, pages={064009} }

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.

## 49 Citations

Matter in Loop Quantum Gravity

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Loop quantum gravity, a non-perturbative and manifestly background free, quantum theory of gravity implies that at the kinematical level the spatial geometry is discrete in a specific sense. The…

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