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We discuss motivation and goals of renormalization analyses of group field theory models of simplicial 4d quantum gravity, and review briefly the status of this research area.
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R. Gurau, A generalization of the Virasoro algebra to arbitrary dimensions , Nucl. Phys. B852
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R. Gurau and J. P. Ryan, Colored Tensor Models - a Review , SIGMA 8
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S. Gielen and D. Oriti, Cosmological perturbations from full quantum gravity , Phys. Rev. D 98
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A. Perez, The Spin-Foam Approach to Quantum Gravity , Living Rev. Relativity 16
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E. Wilson-Ewing, A relational Hamiltonian for group field theory , Phys. Rev. D99
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