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arXiv · 1511.07342

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

Alberto Escalante·Jaime Manuel Cabrera
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Abstract

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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Alberto Escalante, Jaime Manuel Cabrera. 2015-11-23. Hamiltonian dynamics and Faddeev-Jackiw quantization of 3D gravity with a Barbero-Immirzi like parameter. https://arxiv.org/abs/1511.07342

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