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- Immirzi parameter and fermions with non-minimal coupling doi link

Auteur(s): Alexandrov S.

(Article) Publié: Classical And Quantum Gravity, vol. 25 p.145012 (2008)
Texte intégral en Openaccess : arxiv


Ref HAL: hal-00264039_v1
Ref Arxiv: 0802.1221
DOI: 10.1088/0264-9381/25/14/145012
WoS: 000257326100014
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
42 Citations
Résumé:

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.