https://hal-ens-lyon.archives-ouvertes.fr/ensl-00175267Livine, EteraEteraLivinePhys-ENS - Laboratoire de Physique de l'ENS Lyon - ENS Lyon - École normale supérieure - Lyon - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - CNRS - Centre National de la Recherche ScientifiqueTowards a Covariant Loop Quantum GravityHAL CCSD2007Quantization of General RelativityLoop Quantum GravityLorentz invariancearea spectrum[PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc][PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th]Livine, Etera2007-09-27 14:30:102023-03-24 14:52:492007-09-27 14:30:10enPreprints, Working Papers, ...1We 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.