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Second- and first-order phase transitions in causal dynamical triangulations

Jan Ambjørn1,*, S. Jordan2,†, J. Jurkiewicz3,‡, and R. Loll2,4,§,∥

  • 1The Niels Bohr Institute, Copenhagen University Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
  • 2Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, NL-3584 CE Utrecht, The Netherlands
  • 3Institute of Physics, Jagellonian University, Reymonta 4, PL 30-059 Krakow, Poland
  • 4Perimeter Institute for Theoretical Physics, 31 Caroline St. N., Waterloo, Ontario, Canada N2L 2Y5

  • *ambjorn@nbi.dk
  • †s.jordan@uu.nl
  • ‡jurkiewicz@th.if.uj.edu.pl
  • §rloll@perimeterinstitute.ca
  • ∥r.loll@uu.nl
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Phys. Rev. D 85, 124044 – Published 20 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.124044

Abstract

Causal dynamical triangulations (CDT) is a proposal for a theory of quantum gravity, which implements a path-integral quantization of gravity as the continuum limit of a sum over piecewise flat spacetime geometries. We use Monte Carlo simulations to analyze the phase transition lines bordering the physically interesting de Sitter phase of the four-dimensional CDT model. Using a range of numerical criteria, we present strong evidence that the so-called A–C transition is first order, while the B–C transition is second order. The presence of a second-order transition may be related to an ultraviolet fixed point of quantum gravity and thus provide the key to probing physics at and possibly beyond the Planck scale.

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Second-Order Phase Transition in Causal Dynamical Triangulations

Jan Ambjørn, S. Jordan, J. Jurkiewicz, and R. Loll
Phys. Rev. Lett. 107, 211303 (2011)

Article Text

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Phys. Rev. D 85, 124044– Published 20 June, 2012
  • Received 10 May 2012

© 2012 American Physical Society

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