Hamiltonian dynamics and Faddeev-Jackiw quantization of 3D gravity with a Barbero-Immirzi like parameter
Mathematical Physics
2016-11-08 v4 math.MP
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.
Keywords
Cite
@article{arxiv.1511.07342,
title = {Hamiltonian dynamics and Faddeev-Jackiw quantization of 3D gravity with a Barbero-Immirzi like parameter},
author = {Alberto Escalante and Jaime Manuel Cabrera},
journal= {arXiv preprint arXiv:1511.07342},
year = {2016}
}