Faddeev-Jackiw quantization of an Abelian and non-Abelian exotic action for gravity in three dimensions
Mathematical Physics
2015-06-24 v2 math.MP
Abstract
A detailed Faddeev-Jackiw quantization of an Abelian and non-Abelian exotic action for gravity in three dimensions is performed. We obtain for the theories under study the constraints, the gauge transformations, the generalized Faddeev-Jackiw brackets and we perform the counting of physical degrees of freedom. In addition, we compare our results with those found in the literature where the canonical analysis is developed, in particular, we show that both the generalized Faddeev-Jackiw brackets and Dirac's brackets coincide to each other. Finally we discuss some remarks and prospects.
Keywords
Cite
@article{arxiv.1504.04656,
title = {Faddeev-Jackiw quantization of an Abelian and non-Abelian exotic action for gravity in three dimensions},
author = {Alberto Escalante and J. Manuel-Cabrera},
journal= {arXiv preprint arXiv:1504.04656},
year = {2015}
}