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Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter

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Author(s): Merced Montesinos | Mercedes Velázquez

Journal: Symmetry, Integrability and Geometry : Methods and Applications
ISSN 1815-0659

Volume: 7;
Start page: 103;
Date: 2011;
Original page

Keywords: BF theory | BF gravity | Immirzi parameter | Holst action

ABSTRACT
A detailed analysis of the BF formulation for general relativity given by Capovilla, Montesinos, Prieto, and Rojas is performed. The action principle of this formulation is written in an equivalent form by doing a transformation of the fields of which the action depends functionally on. The transformed action principle involves two BF terms and the two Lorentz invariants that appear in the original action principle generically. As an application of this formalism, the action principle used by Engle, Pereira, and Rovelli in their spin foam model for gravity is recovered and the coupling of the cosmological constant in such a formulation is obtained.
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