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Barbero-Immirzi field in canonical formalism of pure gravity

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arxiv 0902.0957 v2 pith:EQE6R7F2 submitted 2009-02-05 gr-qc hep-th

Gianluca Calcagni , Simone Mercuri This is my paper · ORCID
classification gr-qchep-th
keywords canonicalfieldbarbero-immirzicoupledgravitytheoryactionanalysis
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The Barbero-Immirzi (BI) parameter is promoted to a field and a canonical analysis is performed when it is coupled with a Nieh-Yan topological invariant. It is shown that, in the effective theory, the BI field is a canonical pseudoscalar minimally coupled with gravity. This framework is argued to be more natural than the one of the usual Holst action. Potential consequences in relation with inflation and the quantum theory are briefly discussed.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Natural Metric-Affine Inflation: Reloaded

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Combining periodic non-minimal couplings to the Nieh-Yan term and Ricci scalar in metric-affine gravity makes natural inflation viable for sub-Planckian periodicity scales.

  2. Quantum-Ordering Ambiguities in Weak Chern-Simons 4D Gravity and Metastability of the Condensate-Induced Inflation

    gr-qc 2024-11 conditional novelty 5.0 of 10

    In a Chern-Simons gravity model, quantum-ordering-dependent imaginary parts of the gravitational anomaly condensate give inflation a finite lifetime and imply the string scale is about one tenth of the Planck mass.

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