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Towards a Covariant Loop Quantum Gravity

Abstract : We review the canonical analysis of the Palatini action without going to the time gauge as in the standard derivation of Loop Quantum Gravity. This allows to keep track of the Lorentz gauge symmetry and leads to a theory of Covariant Loop Quantum Gravity. This new formulation does not suffer from the Immirzi ambiguity, it has a continuous area spectrum and uses spin networks for the Lorentz group. Finally, its dynamics can easily be related to Barrett-Crane like spin foam models.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00175267
Contributor : Etera Livine Connect in order to contact the contributor
Submitted on : Thursday, September 27, 2007 - 2:30:10 PM
Last modification on : Friday, November 6, 2020 - 10:54:30 AM

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Etera Livine. Towards a Covariant Loop Quantum Gravity. 2007. ⟨ensl-00175267⟩

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