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This article is cited in 7 scientific papers (total in 7 papers)
Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter
Merced Montesinos, Mercedes Velázquez Departamento de Física, Cinvestav, Instituto Politécnico Nacional 2508, San Pedro Zacatenco, 07360, Gustavo A. Madero, Ciudad de México, México
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.
Keywords:
BF theory, BF gravity, Immirzi parameter, Holst action.
Received: August 31, 2011; in final form November 7, 2011; Published online November 11, 2011
Citation:
Merced Montesinos, Mercedes Velázquez, “Equivalent and Alternative Forms for BF Gravity with Immirzi Parameter”, SIGMA, 7 (2011), 103, 13 pp.
Linking options:
https://www.mathnet.ru/eng/sigma661 https://www.mathnet.ru/eng/sigma/v7/p103
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Abstract page: | 209 | Full-text PDF : | 48 | References: | 54 |
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