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We perform a canonical, reduced phase space quantisation of General Relativity by Loop Quantum Gravity (LQG) methods.
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T. Thiemann. Gauge Field Theory Coherent States (GCS): I. General properties. Class. Quant. Grav
T. Thiemann. Reduced phase space quantization and Dirac observables. Class. Quant. Grav
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T. Thiemann. The Phoenix project: master constraint programme for loop quantum gravity. Class. Quant. Grav
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J. Brunnemann and T. Thiemann. On (cosmological) singularity avoidance in loop quantum gravity. Class. Quant. Grav
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2001
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A. Ashtekar, M. Bojowald and J. Lewandowski. Mathematical structure of loop quantum cosmology. Adv. Theor. Math. Phys
2003
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R. Brunetti, K. Fredenhagen and R. Verch. The generally covariant locality principle: a new paradigm for local quantum field theory. Commun. Math. Phys
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C. Rovelli. Loop quantum gravity. Living Rev. Rel
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M. Bojowald. Absence of singularity in loop quantum cosmology. Phys. Rev. Lett
2004
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2004
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W. Fairbairn and C. Rovelli. Separable Hilbert space in loop quantum gravity. J. Math. Phys
2004
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A. Ashtekar, T. Pawlowski and P. Singh. Quantum nature of the big bang. Phys. Rev. Lett
2006
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H. Sahlmann and T. Thiemann. Towards the QFT on curved spacetime limit of QGR. 1. A general scheme. Class. Quant. Grav
2006
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M. Bojowald and A. Skirzewski. Effective equations of motion for quantum systems. Rev. Math. Phys
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R. Leigh, D. Minic and A. Yelnikov. Solving pure QCD in 2+1 dimensions. Phys. Rev. Lett
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K. Giesel and T. Thiemann. Consistency check on volume and triad operator quantisation in loop quantum gravity. I. Class. Quant. Grav
2006
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C. Rovelli. Quantum Gravity
2007
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K. Giesel and T. Thiemann. Algebraic quantum gravity (AQG) I. Conceptual setup. Class. Quant. Grav
2007
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T. Thiemann. Complexifier coherent states for canonical quantum general relativity. Class. Quant. Grav
2063
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