Quantizing Hořava-Lifshitz gravity via causal dynamical triangulations

Christian Anderson, Steven J. Carlip, Joshua H. Cooperman, Petr Hořava, Rajesh K. Kommu, and Patrick R. Zulkowski
Phys. Rev. D 85, 044027 – Published 13 February 2012; Erratum Phys. Rev. D 85, 049904 (2012)

Abstract

We extend the discrete Regge action of causal dynamical triangulations to include discrete versions of the curvature squared terms appearing in the continuum action of (2+1)-dimensional projectable Hořava-Lifshitz gravity. Focusing on an ensemble of spacetimes whose spacelike hypersurfaces are two-spheres, we employ Markov chain Monte Carlo simulations to study the path integral defined by this extended discrete action. We demonstrate the existence of known and novel macroscopic phases of spacetime geometry, and we present preliminary evidence for the consistency of these phases with solutions to the equations of motion of classical Hořava-Lifshitz gravity. Apparently, the phase diagram contains a phase transition between a time-dependent de Sitter-like phase and a time-independent phase. We speculate that this phase transition may be understood in terms of deconfinement of the global gravitational Hamiltonian integrated over a spatial two-sphere.

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  • Received 9 December 2011
  • Publisher error corrected 16 February 2012

DOI:https://doi.org/10.1103/PhysRevD.85.044027

© 2012 American Physical Society

Corrections

16 February 2012

Erratum

Publisher’s Note: Quantizing Hořava-Lifshitz gravity via causal dynamical triangulations [Phys. Rev. D 85, 044027 (2012)]

Christian Anderson, Steven J. Carlip, Joshua H. Cooperman, Petr Hořava, Rajesh K. Kommu, and Patrick R. Zulkowski
Phys. Rev. D 85, 049904 (2012)

Authors & Affiliations

Christian Anderson1,*, Steven J. Carlip2,†, Joshua H. Cooperman2,‡, Petr Hořava3,4,§, Rajesh K. Kommu2,∥, and Patrick R. Zulkowski3,4,¶

  • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
  • 2Department of Physics, University of California, Davis, California 95616, USA
  • 3Berkeley Center for Theoretical Physics and Department of Physics, University of California, Berkeley, California 94720, USA
  • 4Theoretical Physics Group, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA

  • *canderson@college.harvard.edu
  • carlip@physics.ucdavis.edu
  • cooperman@physics.ucdavis.edu
  • §horava@berkeley.edu
  • kommu@physics.ucdavis.edu
  • pzulkowski@berkeley.edu

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Issue

Vol. 85, Iss. 4 — 15 February 2012

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