Hamiltonian analysis of the BFCG formulation of general relativity

We perform the complete Hamiltonian analysis of the BFCG action for general relativity. We determine all the constraints of the theory and classify them into the first-class and the second-class constraints. We also show how the canonical formulation of BFCG general relativity reduces to the Einstei...

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Bibliographic Details
Published in:Classical and quantum gravity 2019-01, Vol.36 (1), p.15005
Main Authors: Mikovi, A, Oliveira, M A, Vojinovi, M
Format: Article
Language:English
Subjects:
algebra of constraints
BFCG model
general relativity
Hamiltonian analysis
Poincaré 2-group
spin-cube model
spin-foam model
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Summary:We perform the complete Hamiltonian analysis of the BFCG action for general relativity. We determine all the constraints of the theory and classify them into the first-class and the second-class constraints. We also show how the canonical formulation of BFCG general relativity reduces to the Einstein-Cartan and triad canonical formulations. The reduced phase space analysis also gives a 2-connection which is suitable for the construction of a spin-foam basis which will be a categorical generalization of the spin-network basis from loop quantum gravity.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/aaee25