Ref HAL: in2p3-00134335_v1
Ref Arxiv: gr-qc/0612071
DOI: 10.1088/0264-9381/24/11/003
WoS: 000246688400005
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
27 Citations
Résumé:

We establish an equivalence between the Hamiltonian formulation of the Plebanski action for general relativity and the covariant canonical formulation of the Hilbert-Palatini action. This is done by comparing the symplectic structures of the two theories through the computation of Dirac brackets. We also construct a shifted connection with simplified Dirac brackets, playing an important role in the covariant loop quantization program, in the Plebanski framework. Implications for spin foam models are also discussed.

Commentaires: 18 pages