Quantum corrections in the group field theory formulation of the Engle-Pereira-Rovelli-Livine and Freidel-Krasnov models

Thomas Krajewski, Jacques Magnen, Vincent Rivasseau, Adrian Tanasa, and Patrizia Vitale
Phys. Rev. D 82, 124069 – Published 30 December 2010
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  • INTRODUCTION
  • IMPLEMENTATION OF GFT
  • STATIONARY PHASE FOR BF AND EPRL/FK…
  • CONCLUDING REMARK: HINT ON A PHASE…
    • References

    Abstract

    We investigate the group field theory formulation of the Engle-Pereira-Rovelli-Livine/Freidel-Krasnov (EPRL/FK spin-foam models. These models aim at a dynamical, i.e., nontopological formulation of 4D quantum gravity. We introduce a saddle point method for general group field theory amplitudes and compare it with existing results, in particular, for a second order correction to the EPRL/FK propagator.

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    • Received 4 October 2010

    DOI:https://doi.org/10.1103/PhysRevD.82.124069

    © 2010 Published by The American Physical Society

    Authors & Affiliations

    Thomas Krajewski1,*, Jacques Magnen2,1,†, Vincent Rivasseau1,‡, Adrian Tanasa3,4,§, and Patrizia Vitale1,5,∥

    • 1Laboratoire de Physique Théorique, Université Paris XI, CNRS UMR 8627, 91405 Orsay Cedex, France
    • 2Centre de Physique Théorique, Ecole Polytechnique, CNRS UMR 7644, 91128 Palaiseau Cedex, France
    • 3LIPN, Institut Galilée, CNRS UMR 7030 Universite. Paris Nord, 99 avenue Clément, 93430 Villetaneuse, France
    • 4Institutul de Fizică şi Inginerie Nucleară Horia Hulubei, Post Office Box MG-6, 077125 Măgurele, România
    • 5Dipartimento di Scienze Fisiche, Università di Napoli Federico II and INFN, Sezione di Napoli, Via Cintia 80126 Napoli, Italy

    • *On leave, Centre de Physique Théorique, CNRS UMR 6207 CNRS Luminy, Case 907, 13288 Marseille Cedex 9. krajew@cpt.univ-mrs.fr
    • †magnen@cpht.polytechnique.fr
    • ‡rivass@th.u-psud.fr
    • §adrian.tanasa@ens-lyon.org
    • ∥vitale@na.infn.it

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    Issue

    Vol. 82, Iss. 12 — 15 December 2010

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