  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.
