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This is a review paper invited by the journal "Classical ad Quantum Gravity" for a "Cluster Issue" on approaches to quantum gravity.
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T. Thiemann, “Quantum spin dynamics (QSD),” Class. Quant. Grav
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2000
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A. Ashtekar, “Classical quantum physics of isolated horizons: A Brief overview,” Lect. Notes Phys
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2007
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T. Jacobson, “Renormalization and black hole entropy in Loop Quantum Gravity,” Class.Quant.Grav
2007
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B. Dittrich and S. Speziale, “Area-angle variables for general relativity,” New J. Phys
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J. Engle, R. Pereira, and C. Rovelli, “Flipped spinfoam vertex and loop gravity,” Nucl. Phys
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2008
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L. Freidel and K. Krasnov, “A New Spin Foam Model for 4d Gravity,” Class. Quant. Grav
2008
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R. Oeckl, “General boundary quantum field theory: Foundations and probability interpretation,” Adv. Theor. Math. Phys
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M. Bojowald, “Loop quantum cosmology,” Living Rev. Rel
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2008
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J. Engle and R. Pereira, “Regularization and finiteness of the Lorentzian LQG vertices,” Phys. Rev
2009
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2009
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E. Bianchi, E. Magliaro, and C. Perini, “LQG propagator from the new spin foams,” Nucl. Phys
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2009
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A. Ashtekar, “Loop Quantum Cosmology: An Overview,” Gen. Rel. Grav
2009
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P. Singh, “Are loop quantum cosmos never singular?,” Class. Quant. Grav
2009
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2009
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A. Ashtekar, M. Campiglia, and A. Henderson, “Loop Quantum Cosmology and Spin Foams,” Phys. Lett
2009
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J. Grain and A. Barrau, “Cosmological footprints of loop quantum gravity,” Phys. Rev. Lett
2009
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R. Gurau, “Lost in Translation: Topological Singularities in Group Field Theory,” Class.Quant.Grav
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