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In this article we review the foundations and the present status of loop quantum gravity.
1979
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1995
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1995
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1995
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1997
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J. Lewandowski, “Volume and quantizations,” Class. Quant. Grav
1997
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1997
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T. Thiemann, “Kinematical Hilbert spaces for fermionic and Higgs quantum field theories,” Class. Quant. Grav
1998
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A. Ashtekar, A. Corichi, and J. A. Zapata, “Quantum theory of geometry. III: Non-commutativity of Riemannian structures,” Class. Quant. Grav
1998
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A. Ashtekar and J. Lewandowski, “Quantum theory of geometry. II: Volume operators,” Adv. Theor. Math. Phys
1998
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T. Thiemann, “Closed formula for the matrix elements of the volume operator in canonical quantum gravity,” J. Math. Phys
1998
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T. Thiemann, “Quantum spin dynamics (QSD),” Class. Quant. Grav
1998
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T. Thiemann, “Quantum spin dynamics (QSD) II,” Class. Quant. Grav
1998
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T. Thiemann, “QSD III: Quantum constraint algebra and physical scalar product in quantum general relativity,” Class. Quant. Grav
1998
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T. Thiemann, “QSD IV: 2+1 Euclidean quantum gravity as a model to test 3+1 Lorentzian quantum gravity,” Class. Quant. Grav
1998
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T. Thiemann, “QSD V: Quantum gravity as the natural regulator of matter quantum field theories,” Class. Quant. Grav
1998
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J. Lewandowski and D. Marolf, “Loop constraints: A habitat and their algebra,” Int. J. Mod. Phys
1998
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R. Gambini, J. Lewandowski, D. Marolf, and J. Pullin, “On the consistency of the constraint algebra in spin network quantum gravity,” Int. J. Mod. Phys
1998
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A. Ashtekar, J. Baez, A. Corichi, and K. Krasnov, “Quantum geometry and black hole entropy,” Phys. Rev. Lett
1998
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R. K. Kaul and P. Majumdar, “Quantum black hole entropy,” Phys. Lett
1998
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1999
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A. Ashtekar, J. C. Baez, and K. Krasnov, “Quantum geometry of isolated horizons and black hole entropy,” Adv. Theor. Math. Phys
2000
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R. K. Kaul and P. Majumdar, “Logarithmic correction to the Bekenstein-Hawking entropy,” Phys. Rev. Lett
2000
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J. Alfaro, H. A. Morales-Tecotl, and L. F. Urrutia, “Quantum gravity corrections to neutrino propagation,” Phys. Rev. Lett
2000
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R. M. Wald, “The thermodynamics of black holes,” Living Rev. Rel
2001
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T. Thiemann and O. Winkler, “Gauge field theory coherent states (GCS). II: Peakedness properties,” Class. Quant. Grav
A. Corichi, J. Diaz-Polo, and E. Fernandez-Borja, “Quantum geometry and microscopic black hole entropy,” Class. Quant. Grav
2007
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H. Sahlmann, “Toward explaining black hole entropy quantization in loop quantum gravity,” Phys. Rev
2007
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2008
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M. Bojowald, “Loop quantum cosmology,” Living Rev. Rel
2008
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2008
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2001
Cited alongside, same era.
T. Thiemann and O. Winkler, “Gauge field theory coherent states (GCS) III: Ehrenfest theorems,” Class. Quant. Grav
2001
Cited alongside, same era.
H. Sahlmann, T. Thiemann, and O. Winkler, “Coherent states for canonical quantum general relativity and the infinite tensor product extension,” Nucl. Phys
2001
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M. Bojowald, “Quantization ambiguities in isotropic quantum geometry,” Class. Quant. Grav
2002
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A. Ashtekar and J. Lewandowski, “Background independent quantum gravity: A status report,” Class. Quant. Grav
2004
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C. Rovelli, “Quantum gravity,”. Cambridge, UK: Univ. Pr. (2004) 455 p
2004
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M. Domagala and J. Lewandowski, “Black hole entropy from quantum geometry,” Class. Quant. Grav
2004
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C. Rovelli, “Loop quantum gravity,” Living Rev. Rel
2008
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2008
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H. Sahlmann, “Entropy calculation for a toy black hole,” Class. Quant. Grav
2008
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2008
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2009
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2009
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D. J. Rezende and A. Perez, “4d Lorentzian Holst action with topological terms,” Phys. Rev
2009
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C. Fleischhack, “Representations of the Weyl Algebra in Quantum Geometry,” Commun. Math. Phys
2009
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2009
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K. Krasnov and C. Rovelli, “Black holes in full quantum gravity,” Class. Quant. Grav
2009
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2009
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2009
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2009
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2010
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M. Domagala, K. Giesel, W. Kaminski, and J. Lewandowski, “Gravity quantized,” Phys. Rev
2010
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2010
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2010
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2010
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Y. Ding and C. Rovelli, “The volume operator in covariant quantum gravity,” Class. Quant. Grav
2010
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2010
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J. Engle, A. Perez, and K. Noui, “Black hole entropy and SU(2) Chern-Simons theory,” Phys. Rev. Lett
2010
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2010
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C. Beetle and J. Engle, “Generic isolated horizons in loop quantum gravity,” Class. Quant. Grav
2010
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2010
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H. Sahlmann, “Wave propagation on a random lattice,” Phys. Rev
2010
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T. Thiemann, “Gauge field theory coherent states (GCS). I: General properties,” Class. Quant. Grav
2064
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