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The polymer quantization of matter fields is a diffeomorphism invariant framework compatible with Loop Quantum Gravity.
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A. Ashtekar, P. Singh (2011) Loop Quantum Cosmology: A Status Report, Class. Quantum Grav
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W. Kamiński, J. Lewandowski, A. Okołów (2006) Background independent quantizations: the scalar field II, Class. Quantum Grav
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K. Fredenhagen, F. Reszewski (2006) Polymer state approximations of Schroedinger wave functions, Class. Quantum Grav
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A. Ashtekar, T. Pawłowski, P. Singh (2006) Quantum Nature of the Big Bang: Improved dynamics, Phys. Rev. D
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R. Gambini, J. Pullin (2012) Spherically symmetric gravity coupled to a scalar field with a local Hamiltonian: the complete initial-boundary value problem using metric variables, arXiv:
2012
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