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Quantum Gravity via Causal Dynamical Triangulations

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Springer Handbook of Spacetime

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Abstract

Causal dynamical triangulations (GlossaryTerm

CDT

) represent a lattice regularization of the sum over spacetime histories, providing us with a nonperturbative formulation of quantum gravity. The ultraviolet fixed points of the lattice theory can be used to define a continuum quantum field theory, potentially making contact with quantum gravity defined via asymptotic safety. We describe the formalism of GlossaryTerm

CDT

, its phase diagram, and the quantum geometries emerging from it. We also argue that the formalism should be able to describe a more general class of quantum-gravitational models of Hořava–Lifshitz type.

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Abbreviations

CDT:

causal dynamical triangulation

DT:

dynamical triangulation

IR:

infrared

UV:

ultraviolet

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Authors and Affiliations

  1. The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, 2100, Copenhagen, Denmark

    Jan Ambjørn & Andrzej Görlich

  2. Institute for Mathematics, Astrophysics and Particle Physics (IMAPP), Radboud University Nijmegen, Heyendaalseweg 135, 6500 GL, Nijmegen, The Netherlands

    Jan Ambjørn & Renate Loll

  3. Marian Smoluchowski Institute of Physics, Department of Theory of Complex Systems, Jagellonian University, ul. Reymonta 4, 30-059, Kraków, Poland

    Andrzej Görlich & Jerzy Jurkiewicz

Authors
  1. Jan Ambjørn
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  2. Andrzej Görlich
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  3. Jerzy Jurkiewicz
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  4. Renate Loll
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Corresponding authors

Correspondence to Jan Ambjørn or Andrzej Görlich .

Editor information

Editors and Affiliations

  1. Department of Physics, Pennsylvania State University, 16802, University Park, PA, USA

    Abhay Ashtekar

  2. Institute for Foundational Studies Hermann Minkowski, Montreal, Quebec, Canada

    Vesselin Petkov

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Ambjørn, J., Görlich, A., Jurkiewicz, J., Loll, R. (2014). Quantum Gravity via Causal Dynamical Triangulations. In: Ashtekar, A., Petkov, V. (eds) Springer Handbook of Spacetime. Springer Handbooks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41992-8_34

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  • DOI: https://doi.org/10.1007/978-3-642-41992-8_34

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