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Using the complex-valued self-dual connection variables, the loop quantum cosmology of a closed Friedmann universe coupled to a massless scalar field is studied.
1917
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A. Ashtekar, “New Variables for Classical and Quantum Gravity,” Phys. Rev. Lett. 57
1986
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A. Ashtekar, “New Hamiltonian Formulation of General Relativity,” Phys. Rev. D36
1987
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T. Jacobson and L. Smolin, “Nonperturbative Quantum Geometries,” Nucl. Phys. B299
1988
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C. Rovelli and L. Smolin, “Loop Space Representation of Quantum General Relativity,” Nucl. Phys. B331
1990
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World Scientific Publishing, 1990
A. Ashtekar, Lectures on non-perturbative canonical gravity · 1990
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T. Thiemann and H. Kastrup, “Canonical quantization of spherically symmetric gravity in Ashtekar’s selfdual representation,” Nucl. Phys. B399
1993
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Oxford University Press, 1994
A. Ashtekar and J. Lewandowski, “Representation theory of analytic holonomy C* algebras,” in Knots and Quantum Gravity · 1994
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J. F. Barbero G., “Real Ashtekar variables for Lorentzian signature space times,” Phys. Rev. D51
1995
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C. Rovelli and L. Smolin, “Discreteness of area and volume in quantum gravity,” Nucl. Phys. B442
1995
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G. Immirzi, “Real and complex connections for canonical gravity,” Class. Quant. Grav. 14
1997
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T. Thiemann, “Quantum spin dynamics (QSD),” Class. Quant. Grav. 15
1998
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J. Samuel, “Is Barbero’s Hamiltonian formulation a gauge theory of Lorentzian gravity?,” Class. Quant. Grav. 17
2000
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M. Bojowald, “Loop quantum cosmology: I. Kinematics,” Class. Quant. Grav. 17
2000
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S. Alexandrov, “On choice of connection in loop quantum gravity,” Phys. Rev. D65
2002
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E. R. Livine, “Projected spin networks for Lorentz connection: Linking spin foams and loop gravity,” Class. Quant. Grav. 19
2002
Cited alongside, same era.
A. Ashtekar, T. Pawłowski, and P. Singh, “Quantum Nature of the Big Bang: Improved dynamics,” Phys. Rev. D74
2006
Cited alongside, same era.
A. Ashtekar, T. Pawłowski, P. Singh, and K. Vandersloot, “Loop quantum cosmology of k=1 FRW models,” Phys. Rev. D75
2007
Cited alongside, same era.
Ł. Szulc, W. Kamiński, and J. Lewandowski, “Closed FRW model in Loop Quantum Cosmology,” Class. Quant. Grav. 24
2007
Cited alongside, same era.
M. Bojowald, “Loop quantum cosmology,” Living Rev. Rel. 11
2008
Cited alongside, same era.
2012
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K. Banerjee, G. Calcagni, and M. Martín-Benito, “Introduction to loop quantum cosmology,” SIGMA 8
2012
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2013
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2013
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2008
Cited alongside, same era.
2008
Cited alongside, same era.
A. Ashtekar and E. Wilson-Ewing, “Loop quantum cosmology of Bianchi type II models,” Phys. Rev. D80
2009
Cited alongside, same era.
2009
Cited alongside, same era.
M. Dupuis and E. R. Livine, “Lifting SU(2) Spin Networks to Projected Spin Networks,” Phys. Rev. D82
2010
Cited alongside, same era.
E. Wilson-Ewing, “Loop quantum cosmology of Bianchi type IX models,” Phys. Rev. D82
2010
Cited alongside, same era.
A. Ashtekar and P. Singh, “Loop Quantum Cosmology: A Status Report,” Class. Quant. Grav. 28
2011
Cited alongside, same era.
2014
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D. Pranzetti, “Geometric temperature and entropy of quantum isolated horizons,” Phys. Rev. D89
2014
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2014
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2014
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2014
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2014
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2015
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S. Carlip, “A Note on Black Hole Entropy in Loop Quantum Gravity,” Class. Quant. Grav. 32
2015
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2015
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