Immirzi parameter and fermions with non-minimal coupling

Details Immirzi parameter and fermions with non-minimal coupling Immirzi parameter and fermions with non-minimal coupling

2008-02-08

arxiv.org/abs/0802.1221v2

Class.Quant.Grav.25:145012,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages

Scientific paper

10.1088/0264-9381/25/14/145012

We clarify the role played by the Immirzi parameter in classical gravity coupled to fermions. Considering the general non-minimal coupling, we show that, although the torsion depends explicitly on the Immirzi parameter, in a suitable parametrization the effective action obtained by integrating out the spin-connection is independent of it. Thus the Immirzi parameter is not detectable in classical theory even after coupling of fermions.

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