Barbero-Immirzi field in canonical formalism of pure gravity

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.

10 pages

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Cited by in corpus (2)

• Peccei--Quinn mechanism in gravity and the nature of the Barbero--Immirzi parameter
• Seeking the Loop Quantum Gravity Barbero-Immirzi Parameter and Field in 4D, $\mathcal{N}$ = 1 Supergravity