Plebanski Theory and Covariant Canonical Formulation

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dc.creatorAlexandrov, Sergei
dc.creatorBuffenoir, Eric
dc.creatorRoche, Philippe
dc.date2006-12-12
dc.date.accessioned2026-07-07T10:37:07Z
dc.date.available2026-07-07T10:37:07Z
dc.descriptionWe 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.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0612071
dc.identifierhttp://arxiv.org/abs/gr-qc/0612071
dc.identifierClass.Quant.Grav.24:2809-2824,2007
dc.identifierdoi:10.1088/0264-9381/24/11/003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180273
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titlePlebanski Theory and Covariant Canonical Formulation
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