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This topical review gives a comprehensive overview and assessment of recent results in Causal Dynamical Triangulations (CDT), a modern formulation of lattice gravity, whose aim is to obtain a theory of quantum gravity nonperturbatively from a scaling limit of the lattice-regularized theory.
1903
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S. Carlip, Dimension and dimensional reduction in quantum gravity
1904
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T. Regge, General relativity without coordinates,
1961
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K.G. Wilson, Confinement of quarks
1974
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M. Rocek and R.M. Williams, Quantum Regge calculus
1981
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F. David, Loop equations and nonperturbative effects in two-dimensional quantum gravity
1990
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J. Ambjørn, J. Jurkiewicz and Y.M. Makeenko, Multiloop correlators for two-dimensional quantum gravity,
1990
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J. Ambjørn and J. Jurkiewicz, Four-dimensional simplicial quantum gravity
1992
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I. Montvay and G. Münster, Quantum fields on a lattice
1994
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F. David, Simplicial quantum gravity and random lattices
1995
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T. Hotta, T. Izubuchi and J. Nishimura, Singular vertices in the strong coupling phase of four-dimensional simplicial gravity
1996
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J. Ambjørn, B. Durhuus and T. Jonsson, Quantum geometry
1997
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R. Loll, Discrete approaches to quantum gravity in four dimensions
1998
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J. Ambjørn and R. Loll, Non-perturbative Lorentzian quantum gravity, causality and topology change
1998
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S. Bilke, Z. Burda, A. Krzywicki, B. Petersson, J. Tabaczek and G. Thorleifsson, 4-D simplicial quantum gravity interacting with gauge matter fields
1998
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L. Andersson, G.J. Galloway and R. Howard, The cosmological time function
1998
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J. Ambjørn, R. Loll, J.L. Nielsen and J. Rolf, Euclidean and Lorentzian quantum gravity: Lessons from two-dimensions
1999
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J. Ambjørn, K.N. Anagnostopoulos and R. Loll, A new perspective on matter coupling in 2d quantum gravity
1999
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J. Ambjørn, J. Jurkiewicz and R. Loll, A non-perturbative Lorentzian path integral for gravity
2000
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J. Ambjørn, K.N. Anagnostopoulos and R. Loll, Crossing the c = 1 barrier in 2-D Lorentzian quantum gravity
2000
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J. Ambjørn, J. Jurkiewicz and R. Loll, Dynamically triangulating Lorentzian quantum gravity
2001
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A. Dasgupta and R. Loll, A proper time cure for the conformal sickness in quantum gravity
2001
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R. Loll, Discrete Lorentzian quantum gravity
2001
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J. Ambjørn, J. Jurkiewicz and R. Loll, Nonperturbative 3-d Lorentzian quantum gravity
2001
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D.I. Diakonov and V.Yu. Petrov, Non-abelian Stokes theorems in the Yang-Mills and gravity theories
2001
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D.V. Vassilevich, Heat kernel expansion: user’s manual
2003
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J. Ambjørn, J. Jurkiewicz and R. Loll, Emergence of a 4D world from causal quantum gravity
2004
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J. Ambjørn, J. Jurkiewicz and R. Loll, Semiclassical universe from first principles
2005
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J. Ambjørn, J. Jurkiewicz and R. Loll, Spectral dimension of the universe
2005
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J. Ambjørn, J. Jurkiewicz and R. Loll, Reconstructing the universe
2005
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M. Niedermaier, The asymptotic safety scenario in quantum gravity: an introduction
2007
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J. Ambjørn, A. Görlich, J. Jurkiewicz and R. Loll, Planckian birth of the quantum de Sitter universe
2008
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J. Ambjørn, A. Görlich, J. Jurkiewicz and R. Loll, The nonperturbative quantum de Sitter universe
2008
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R. Loll, The emergence of spacetime or quantum gravity on your desktop
2008
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R. Loll, The emergence of spacetime or quantum gravity on your desktop
2008
Cited alongside, same era.
H.W. Hamber, Quantum gravity on the lattice
2009
Cited alongside, same era.
D. Oriti (Ed.), Approaches to quantum gravity
2009
Cited alongside, same era.
J. Ambjørn, J. Jurkiewicz and R. Loll, Quantum gravity, or The art of building spacetime
2009
Cited alongside, same era.
2009
Cited alongside, same era.
2014
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2014
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J. Gizbert-Studnicki, The effective action in four-dimensional CDT
2014
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2014
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J. Ambjørn, A. Görlich, J. Jurkiewicz, A. Kreienbuehl and R. Loll, Renormalization group flow in CDT
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2009
Cited alongside, same era.
D. Benedetti and J. Henson, Spectral geometry as a probe of quantum spacetime
2009
Cited alongside, same era.
Y. Ollivier, Ricci curvature of Markov chains on metric spaces
2009
Cited alongside, same era.
2010
Cited alongside, same era.
J. Ambjørn, A. Görlich, S. Jordan, J. Jurkiewicz, and R. Loll, CDT meets Hořava-Lifshitz gravity
2010
Cited alongside, same era.
J. Ambjørn, A. Görlich, J. Jurkiewicz and R. Loll, Geometry of the quantum universe
2010
Cited alongside, same era.
A. Görlich, Causal Dynamical Triangulations in four dimensions
2010
Cited alongside, same era.
2014
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G. Calcagni, D. Oriti and J. Thürigen, Spectral dimension of quantum geometries
2014
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J.H. Cooperman, Scale-dependent homogeneity measures for causal dynamical triangulations
2014
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J. Ambjørn, A. Görlich, J. Jurkiewicz and R. Loll, Wilson loops in nonperturbative quantum gravity
2015
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D. Coumbe and J. Laiho, Exploring Euclidean Dynamical Triangulations with a non-trivial measure term
2015
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2015
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R. Loll and B. Ruijl, Locally Causal Dynamical Triangulations in two dimensions
2015
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2015
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2015
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2015
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D.N. Coumbe, J. Gizbert-Studnicki and J. Jurkiewicz, Exploring the new phase transition of CDT,
2016
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2016
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J.H. Cooperman, On a renormalization group scheme for causal dynamical triangulations
2016
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2016
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2016
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R. Percacci, An introduction to covariant quantum gravity and asymptotic safety
2017
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2017
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J. Ambjørn, D. Coumbe, J. Gizbert-Studnicki and J. Jurkiewicz, Recent results in CDT quantum gravity
2017
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2017
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2017
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L. Glaser and R. Loll, CDT and cosmology
2017
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2017
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B. Knorr and F. Saueressig, Towards reconstructing the quantum effective action of gravity
2018
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2018
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W. Cunningham and D. Krioukov, Causal set generator and action computer
2018
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2018
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2018
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N. Klitgaard and R. Loll, Introducing quantum Ricci curvature
2018
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N. Klitgaard and R. Loll, Implementing quantum Ricci curvature
2018
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M. Reuter and F. Saueressig, Quantum gravity and the functional renormalization group
2019
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