From the Einstein-Cartan to the Ashtekar-Barbero canonical constraints, passing through the Nieh-Yan functional

Simone Mercuri
Phys. Rev. D 77, 024036 – Published 23 January 2008
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  • INTRODUCTION
  • CANONICAL GR WITH FERMION FIELDS
  • FROM EINSTEIN-CARTAN TO ASHTEKAR-BARBERO…
  • DISCUSSION
  • ACKNOWLEDGEMENTS
    • References

    Abstract

    The Ashtekar-Barbero constraints for general relativity with fermions are derived from the Einstein-Cartan canonical theory rescaling the state functional of the gravity-spinor coupled system by the exponential of the Nieh-Yan functional. A one parameter quantization ambiguity naturally appears and can be associated with the Immirzi parameter.

    • Received 18 November 2007

    DOI:https://doi.org/10.1103/PhysRevD.77.024036

    ©2008 American Physical Society

    Authors & Affiliations

    Simone Mercuri*

    • Centre de Physique Théorique de Luminy, Université de la Méditerranée, F-13288, Marseilles, France, EU
    • Dipartimento di Fisica, Università di Roma “La Sapienza”, P.le Aldo Moro 5, I-00185, Rome, Italy, EU

    • *mercuri@cpt.univ-mrs.fr

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    Issue

    Vol. 77, Iss. 2 — 15 January 2008

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