Hamiltonian dynamics and Faddeev-Jackiw quantization of 3D gravity with a Barbero-Immirzi like parameter

Alberto Escalante (Puebla U.; Jaime Manuel Cabrera (Puebla U.; Mexico)

arxiv: 1511.07342 · v4 · pith:JBI3KI54new · submitted 2015-11-23 · 🧮 math-ph · math.MP

Hamiltonian dynamics and Faddeev-Jackiw quantization of 3D gravity with a Barbero-Immirzi like parameter

Alberto Escalante (Puebla U. , Mexico) , Jaime Manuel Cabrera (Puebla U. This is my paper

classification 🧮 math-ph math.MP

keywords faddeev-jackiwbracketsdiracgravityquantizationadditionbarbero-immirzibonzom-livine

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A detailed Dirac's and Faddeev-Jackiw quantization of Bonzom-Livine model describing gravity in three dimensions is performed. The full structure of the constraints, the gauge transformations and the generalized Faddeev-Jackiw brackets are found. In addition, we show that the Faddeev-Jackiw and Dirac's brackets coincide to each other. Finally we discuss some remarks and prospects.

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Hamiltonian dynamics and Faddeev-Jackiw quantization of 3D gravity with a Barbero-Immirzi like parameter

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