%0 Journal Article
%T Immirzi parameter and fermions with non-minimal coupling
%+ Laboratoire de Physique Théorique et Astroparticules (LPTA)
%A Alexandrov, Sergey
%< avec comité de lecture
%Z 08-003; 08-003
%@ 0264-9381
%J Classical and Quantum Gravity
%I IOP Publishing
%V 25
%N 14
%P 145012
%8 2008-07-21
%D 2008
%Z 0802.1221
%R 10.1088/0264-9381/25/14/145012
%K general relativity
%K fermions
%K Immirzi parameter
%K Quantum Cosmology
%Z PACS numbers: 04.20.Fy, 04.60.Pp
%Z Physics [physics]/Mathematical Physics [math-ph]
%Z Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]Journal articles
%X 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.
%G English
%L hal-00264039
%U https://hal.science/hal-00264039
%~ IN2P3
%~ LPTA
%~ CNRS
%~ UNIV-MONTP2
%~ TDS-MACS
%~ UNIV-MONTPELLIER
%~ UM1-UM2