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.
| Original language | English (US) |
|---|---|
| Article number | 064009 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 78 |
| Issue number | 6 |
| DOIs | |
| State | Published - Sep 2 2008 |
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)