Immirzi parameter and fermions with non-minimal coupling
arXiv:0802.1221 · doi:10.1088/0264-9381/25/14/145012
Abstract
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.
4 pages
References in corpus (15)
- Quantum Theory of Gravity I: Area Operators
- Physical Aspects of the Space-Time Torsion
- Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
- Quantum Gravity and Regge Calculus
- Quantum Gravity, Torsion, Parity Violation and all that
- Physical effects of the Immirzi parameter
- Kinematical Hilbert Spaces for Fermionic and Higgs Quantum Field Theories
- SU(2) Loop Quantum Gravity seen from Covariant Theory
- Fermions in Ashtekar-Barbero Connections Formalism for Arbitrary Values of the Immirzi Parameter
- SO(4,C)-covariant Ashtekar-Barbero gravity and the Immirzi parameter
- On choice of connection in loop quantum gravity
- Area spectrum in Lorentz covariant loop gravity
- Canonical Gravity with Fermions
- A Note on Parity Violation and the Immirzi Parameter
- Remark on Immirzi Parameter, Torsion, and Discrete Symmetries
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- Hamiltonian analysis of fermions coupled to the Holst action
- Generalizations of the Nieh-Yan topological invariant
- Gravity in presence of fermions as a SU(2) gauge theory
- On the Generalized Einstein-Cartan Action with Fermions
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- Connection dynamics of a gauge theory of gravity coupled with matter