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Plebanski Theory and Covariant Canonical Formulation

Abstract : 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.
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Contributor : Dominique Girod <>
Submitted on : Thursday, March 1, 2007 - 3:51:46 PM
Last modification on : Thursday, November 26, 2020 - 12:54:02 PM

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S. Alexandrov, E. Buffenoir, P. Roche. Plebanski Theory and Covariant Canonical Formulation. Classical and Quantum Gravity, IOP Publishing, 2007, 24, pp.2809-2824. ⟨10.1088/0264-9381/24/11/003⟩. ⟨in2p3-00134335⟩



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