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We clarify the role played by the Immirzi parameter in classical gravity coupled to fermions.
S. Holst, “Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action,” Phys. Rev. D 53
1996
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G. Immirzi, “Quantum gravity and Regge calculus,” Nucl. Phys. Proc. Suppl. 57
1997
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, “Quantum theory of geometry. I: Area operators,” Class. Quant. Grav. 14
1997
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A. Ashtekar and J. Lewandowski, “Quantum theory of geometry. II: Volume operators,” Adv. Theor. Math. Phys. 1
1998
Earlier work this paper cites.
T. Thiemann, “Kinematical Hilbert spaces for fermionic and Higgs quantum field theories,” Class. Quant. Grav. 15
1998
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S. Alexandrov, “SO(4,C)-covariant Ashtekar–Barbero gravity and the Immirzi parameter,” Class. Quantum Grav. 17
2000
Cited alongside, same era.
S. Alexandrov and D. Vassilevich, “Area spectrum in Lorentz covariant loop gravity,” Phys. Rev. D 64
2001
Cited alongside, same era.
S. Alexandrov, “On choice of connection in loop quantum gravity,” Phys. Rev. D 65
2002
Cited alongside, same era.
I. L. Shapiro, “Physical aspects of the space-time torsion,” Phys. Rept. 357
2002
Cited alongside, same era.
S. Alexandrov and E.R. Livine, “SU(2) loop quantum gravity seen from covariant theory),” Phys. Rev. D 67
2003
Cited alongside, same era.
A. Randono, “A note on parity violation and the Immirzi parameter,” arXiv:hep-th/0510001
C. Rovelli, “Quantum Gravity,” Cambridge University Press, 2004
2004
Later among the works it cites.
L. Freidel, D. Minic and T. Takeuchi, “Quantum gravity, torsion, parity violation and all that,” Phys. Rev. D 72
2005
Later among the works it cites.
A. Perez and C. Rovelli, “Physical effects of the Immirzi parameter,” Phys. Rev. D 73
2006
Later among the works it cites.
I. B. Khriplovich and A. A. Pomeransky, “Remark on Immirzi parameter, torsion, and discrete symmetries,” Phys. Rev. D 73
2006
Later among the works it cites.
S. Mercuri, “Fermions in Ashtekar-Barbero-Immirzi formulation of general relativity,” Phys. Rev. D 73
2006
Later among the works it cites.
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