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Introduction to Causal Dynamical Triangulations

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Quantum Gravity and Quantum Cosmology

Part of the book series: Lecture Notes in Physics ((LNP,volume 863))

Abstract

The method of causal dynamical triangulations is a non-perturbative and background-independent approach to quantum theory of gravity. In this review we present recent results obtained within the four dimensional model of causal dynamical triangulations. We describe the phase structure of the model and demonstrate how a macroscopic four-dimensional de Sitter universe emerges dynamically from the full gravitational path integral. We show how to reconstruct the effective action describing scale factor fluctuations from Monte Carlo data.

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References

  1. J. Ambjørn, J. Jurkiewicz, R. Loll, Phys. Rev. Lett. 85, 924 (2000). hep-th/0002050

    Article  ADS  MathSciNet  Google Scholar 

  2. J. Ambjørn, J. Jurkiewicz, R. Loll, Phys. Rev. D 72, 064014 (2005). hep-th/0505154

    Article  ADS  Google Scholar 

  3. J. Ambjørn, J. Jurkiewicz, R. Loll, Nucl. Phys. B 610, 347 (2001). hep-th/0105267

    Article  ADS  Google Scholar 

  4. J. Ambjørn, J. Jurkiewicz, R. Loll, in Approaches to Quantum Gravity, ed. by D. Oriti (Cambridge University Press, Cambridge, 2009), pp. 341–359. hep-th/0604212

    Chapter  Google Scholar 

  5. S.W. Hawking, in General Relativity: An Einstein Centenary Survey, ed. by S.W. Hawking, W. Israel (Cambridge University Press, Cambridge, 1979), pp. 746–789

    Google Scholar 

  6. G.W. Gibbons, S.W. Hawking, Phys. Rev. D 15, 2752 (1977)

    ADS  MathSciNet  Google Scholar 

  7. C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation (Freeman, New York, 1973)

    Google Scholar 

  8. R.M. Wald, General Relativity (Chicago University Press, Chicago, 1984)

    Book  MATH  Google Scholar 

  9. J. Ambjørn, S. Varsted, Nucl. Phys. B 373, 557 (1992)

    Article  ADS  Google Scholar 

  10. J. Ambjørn, J. Jurkiewicz, R. Loll, Phys. Rev. Lett. 95, 171301 (2005). hep-th/0505113

    Article  ADS  Google Scholar 

  11. J. Ambjørn, A. Görlich, J. Jurkiewicz, R. Loll, Phys. Rev. Lett. 100, 091304 (2008). ar**v:0712.2485

    Article  ADS  Google Scholar 

  12. J. Ambjørn, A. Görlich, J. Jurkiewicz, R. Loll, Phys. Rev. D 78, 063544 (2008). ar**v:0807.4481

    ADS  MathSciNet  Google Scholar 

  13. A. Görlich, Acta Phys. Pol. B 39, 3343 (2008)

    ADS  Google Scholar 

  14. J. Ambjørn, A. Görlich, J. Jurkiewicz, R. Loll, Phys. Lett. B 690, 420 (2010). ar**v:1001.4581

    Article  ADS  MathSciNet  Google Scholar 

  15. J. Ambjørn, A. Görlich, S. Jordan, J. Jurkiewicz, R. Loll, Phys. Lett. B 690, 413 (2010). ar**v:1002.3298

    Article  ADS  MathSciNet  Google Scholar 

  16. P. Hořava, Phys. Rev. Lett. 102, 161301 (2009). ar**v:0902.3657

    Article  ADS  MathSciNet  Google Scholar 

  17. J.B. Hartle, S.W. Hawking, Phys. Rev. D 28, 2960 (1983)

    ADS  MathSciNet  Google Scholar 

  18. B. Efron, Ann. Stat. 7, 1 (1979)

    Article  MathSciNet  Google Scholar 

  19. O. Lauscher, M. Reuter, J. High Energy Phys. 0510, 050 (2005). hep-th/0508202

    Article  ADS  MathSciNet  Google Scholar 

  20. J. Ambjørn, S. Jordan, J. Jurkiewicz, R. Loll, Phys. Rev. Lett. 107, 211303 (2011). ar**v:1108.3932

    Article  ADS  Google Scholar 

  21. A. Dasgupta, R. Loll, Nucl. Phys. B 606, 357 (2001). hep-th/0103186

    Article  ADS  MathSciNet  Google Scholar 

  22. J. Ambjørn, S. Jain, G. Thorleifsson, Phys. Lett. B 307, 34 (1993). hep-th/9303149

    Article  ADS  Google Scholar 

Download references

Acknowledgements

The author would like to thank Jerzy Jurkiewicz and Jan Ambjørn for introducing him into this fascinating topic and for a fruitful collaboration. The author acknowledges support by The Danish Research Council via the grant “Quantum Gravity and the Role of Black Holes”.

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Authors and Affiliations

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

    Andrzej Görlich

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  1. Andrzej Görlich
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Correspondence to Andrzej Görlich .

Editor information

Editors and Affiliations

  1. CSIC, Instituto de Estructura de la Materia, Madrid, Spain

    Gianluca Calcagni

  2. Department of Physics, National Technical University of Athens, Athens, 15780, Greece

    Lefteris Papantonopoulos

  3. Department of Physics and Astronomy, The University of Tennessee, Nielsen Physics Building 210, Knoxville, 37996-1200, Tennessee, USA

    George Siopsis

  4. Crete Center for Theoretical Physics, Department of Physics, University of Crete, Physics Bldg. 203, Heraklion, 71003, Greece

    Nikos Tsamis

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Görlich, A. (2013). Introduction to Causal Dynamical Triangulations. In: Calcagni, G., Papantonopoulos, L., Siopsis, G., Tsamis, N. (eds) Quantum Gravity and Quantum Cosmology. Lecture Notes in Physics, vol 863. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33036-0_5

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