Barbero-Immirzi field in canonical formalism of pure gravity

Gianluca Calcagni and Simone Mercuri
Phys. Rev. D 79, 084004 – Published 3 April 2009

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.

  • Received 5 February 2009

DOI:https://doi.org/10.1103/PhysRevD.79.084004

©2009 American Physical Society

Authors & Affiliations

Gianluca Calcagni* and Simone Mercuri

  • Institute for Gravitation and the Cosmos, Department of Physics, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802, USA

  • *gianluca@gravity.psu.edu
  • mercuri@gravity.psu.edu

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Issue

Vol. 79, Iss. 8 — 15 April 2009

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