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Barbero-Immirzi field in canonical formalism of pure gravity

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abstract

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.

fields

gr-qc 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Natural Metric-Affine Inflation: Reloaded

gr-qc · 2026-05-22 · unverdicted · novelty 5.0

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.

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  • Natural Metric-Affine Inflation: Reloaded gr-qc · 2026-05-22 · unverdicted · none · ref 88 · internal anchor

    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.