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We advocate lattice methods as the tool of choice to constructively define a background-independent theory of Lorentzian quantum gravity and explore its physical properties in the Planckian regime.
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J. Ambjørn, J. Jurkiewicz and R. Loll, A nonperturbative Lorentzian path integral for gravity , Phys. Rev. Lett. 85
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R. Loll, Discrete Lorentzian quantum gravity , Nucl. Phys. Proc. Suppl. 94
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J. Ambjørn, J. Jurkiewicz and R. Loll, Emergence of a 4D world from causal quantum gravity , Phys. Rev. Lett. 93
2004
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J. Ambjørn, J. Jurkiewicz and R. Loll, Reconstructing the universe , Phys. Rev. D 72
J. Ambjørn, A. Görlich, J. Jurkiewicz and R. Loll, Planckian birth of the quantum de Sitter universe , Phys. Rev. Lett. 100
2008
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P. Hořava, Quantum gravity at a Lifshitz point , Phys. Rev. D 79
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P. Hořava, Spectral dimension of the universe in quantum gravity at a Lifshitz point, Phys. Rev. Lett. 102
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J. Ambjørn, J. Jurkiewicz and R. Loll, Quantum gravity as sum over spacetimes Lect. Notes Phys. 807
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J. Ambjørn, J. Jurkiewicz and R. Loll, Quantum gravity as sum over spacetimes , Lect. Notes Phys. 807
2010
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2005
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J. Ambjørn, J. Jurkiewicz and R. Loll, Spectral dimension of the universe , Phys. Rev. Lett. 95
2005
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O. Lauscher and M. Reuter, Fractal spacetime structure in asymptotically safe gravity, JHEP 0510
2005
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J. Ambjørn, A. Görlich, J. Jurkiewicz and R. Loll, The nonperturbative quantum de Sitter universe , Phys. Rev. D 78
2008
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P. Hořava, General covariance in gravity at a Lifshitz point [ 1101.1081, hep-th
Cited in the paper.
J. Ambjørn, S. Jordan and R. Loll, to be published
Cited in the paper.
J. Ambjørn, A. Görlich, S. Jordan, J. Jurkiewicz and R. Loll, CDT meets Horava-Lifshitz gravity , Phys. Lett. B 690
2010
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J. Ambjørn, A. Görlich, J. Jurkiewicz and R. Loll, Geometry of the quantum universe , Phys. Lett. B 690
2010
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J. Ambjørn, A. Görlich, J. Jurkiewicz, R. Loll, J. Gizbert-Studnicki, T. Trzesniewski, The semiclassical limit of causal dynamical triangulations , Nucl. Phys. B 849
2011
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