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I describe a possible perspective on the current state of loop quantum gravity, at the light of the developments of the last years.
C. Rovelli, “Simple model for quantum general relativity from loop quantum gravity,” arXiv:1010.1939
1939
Earlier work this paper cites.
Cambridge University Press, Cambridge, U.K., 1971
R. Penrose, “Angular momentum: an approach to combinatorial spacetime,” in Quantum Theory and Beyond · 1971
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C. Rovelli and L. Smolin, “Knot Theory and Quantum Gravity,” Phys. Rev. Lett
1988
Earlier work this paper cites.
C. Rovelli and L. Smolin, “Loop Space Representation of Quantum General Relativity,” Nucl. Phys
1990
Earlier work this paper cites.
C. Rovelli, “The Basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantum gravity model in the loop representation basis,” Phys. Rev
1993
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A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao, and T. Thiemann, “Coherent state transforms for spaces of connections,” J. Funct. Anal
1996
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A. Barbieri, “Quantum tetrahedra and simplicial spin networks,” Nucl. Phys
1998
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J. W. Barrett and L. Crane, “A Lorentzian signature model for quantum general relativity,” Class. Quant. Grav
2000
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B. C. Hall, “Geometric quantization and the generalized Segal-Bargmann transform for Lie groups of compact type,” Communications in Mathematical Physics
2002
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R. Oeckl, “A ’general boundary’ formulation for quantum mechanics and quantum gravity,” Phys. Lett
2003
Earlier work this paper cites.
D. Colosi and C. Rovelli, “A simple background-independent Hamiltonian quantum model,” Phys. Rev
2003
Earlier work this paper cites.
W. Fairbairn and C. Rovelli, “Separable Hilbert space in loop quantum gravity,” J. Math. Phys
2004
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, “Background independent quantum gravity: A status report,” Class. Quant. Grav
2004
Earlier work this paper cites.
Cambridge University Press, Cambridge, UK, 2004
C. Rovelli, Quantum Gravity · 2004
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J. Lewandowski, A. Okolów, H. Sahlmann, and T. Thiemann, “Uniqueness of Diffeomorphism Invariant States on Holonomy-Flux Algebras,” Commun. Math. Phys
2005
Earlier work this paper cites.
M. Bojowald, “Loop quantum cosmology,” Living Rev. Rel
2005
Earlier work this paper cites.
K. Giesel and T. Thiemann, “Consistency check on volume and triad operator quantisation in loop quantum gravity. I,” Class. Quant. Grav
2006
Earlier work this paper cites.
C. Fleischhack, “Irreducibility of the Weyl algebra in loop quantum gravity,” Phys. Rev. Lett
2006
Earlier work this paper cites.
E. Bianchi, L. Modesto, C. Rovelli, and S. Speziale, “Graviton propagator in loop quantum gravity,” Class. Quant. Grav
2006
Cited alongside, same era.
C. Rovelli, “Graviton propagator from background-independent quantum gravity,” Phys. Rev. Lett
2006
Cited alongside, same era.
E. R. Livine and S. Speziale, “A new spinfoam vertex for quantum gravity,” Phys. Rev
2007
Cited alongside, same era.
Cambridge University Press, Cambridge, UK, 2007
T. Thiemann, Modern Canonical Quantum General Relativity · 2007
Cited alongside, same era.
J. Engle, R. Pereira, and C. Rovelli, “The loop-quantum-gravity vertex-amplitude,” Phys. Rev. Lett
2007
Cited alongside, same era.
2009
Later among the works it cites.
2009
Later among the works it cites.
E. Bianchi, E. Magliaro, and C. Perini, “LQG propagator from the new spin foams,” Nucl. Phys
2009
Later among the works it cites.
E. Alesci, E. Bianchi, and C. Rovelli, “LQG propagator: III. The new vertex,” Class. Quant. Grav
2009
Later among the works it cites.
A. Ashtekar, “Loop Quantum Cosmology: An Overview,” Gen. Rel. Grav
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2007
Cited alongside, same era.
V. Rivasseau, ““Noncommutative Renormalization”, Lectures at the QG2 2008 Quantum Geometry and Quantum Gravity Conference, Nottingham,” http://www.maths.nottingham.ac.uk/ qg/ wiki/ index.php/ Image: RivasseauVincent1214731400.pdf
2008
Cited alongside, same era.
2008
Cited alongside, same era.
R. Oeckl, “General boundary quantum field theory: Foundations and probability interpretation,” Adv. Theor. Math. Phys
2008
Cited alongside, same era.
J. Engle, R. Pereira, and C. Rovelli, “Flipped spinfoam vertex and loop gravity,” Nucl. Phys
2008
Cited alongside, same era.
L. Freidel and K. Krasnov, “A New Spin Foam Model for 4d Gravity,” Class. Quant. Grav
2008
Cited alongside, same era.
2008
Cited alongside, same era.
2009
Later among the works it cites.
A. Ashtekar, M. Campiglia, and A. Henderson, “Loop Quantum Cosmology and Spin Foams,” Phys. Lett
2009
Later among the works it cites.
C. Rovelli and S. Speziale, “On the geometry of loop quantum gravity on a graph,” Phys. Rev
2010
Closest in time.
E. Bianchi, E. Magliaro, and C. Perini, “Coherent spin-networks,” Phys. Rev
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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Y. Ding and C. Rovelli, “Lorentzian simplicity constraints,” to appear
2010
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2010
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2010
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2010
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2010
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E. Bianchi, C. Rovelli, and F. Vidotto, “Towards Spinfoam Cosmology,” Phys. Rev
2010
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C. Rovelli and F. Vidotto, “On the spinfoam expansion in cosmology,” Class. Quant. Grav
2010
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T. Thiemann, “Complexifier coherent states for quantum general relativity,” Class. Quant. Grav
2063
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