Canonical Gravity with Fermions

Details Canonical Gravity with Fermions Canonical Gravity with Fermions

2007-10-30

arxiv.org/abs/0710.5722v2

Phys.Rev.D78:064009,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages; v2: new discussion of parity, more general non-minimal coupling, less details of constraint analysis

Scientific paper

10.1103/PhysRevD.78.064009

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.

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