Plebanski theory and covariant canonical formulation

Plebanski theory and covariant canonical formulation

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...

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Veröffentlicht in:Classical and quantum gravity 2007-06, Vol.24 (11), p.2809-2824
Hauptverfasser: Alexandrov, S, Buffenoir, E, Roche, Ph
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Sprache:eng
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Exact sciences and technology
General relativity and gravitation
General Relativity and Quantum Cosmology
Physics
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creator Alexandrov, S
Buffenoir, E
Roche, Ph
description 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.
doi_str_mv 10.1088/0264-9381/24/11/003
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subjects Exact sciences and technology
General relativity and gravitation
General Relativity and Quantum Cosmology
Physics
title Plebanski theory and covariant canonical formulation
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